Curriculum›4B›Chapter 15

Chapter 15: Chapter review

37 questions · with revealable worked answers

This cumulative chapter review uses fresh questions. Attempt before revealing the reasoning.
Question 1 · classification

Classify a 180° angle as acute, right, obtuse, or straight.

180°
Show answer and reasoning
straight

Compare 180° to 90° and 180°. A ray length does not affect the turn.

Question 2 · measurement

Measure the smaller indicated angle between the two rays, in degrees.

?°
Show answer and reasoning
165°

Align the protractor at the vertex and read from the baseline: 165°.

Question 3 · construction

Using a protractor, construct an angle measuring 85°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 85° angle with labeled rays

Check placement of the center and zero baseline; mark 85°, draw second ray, and label.

85°
Question 4 · angle arithmetic

An angle of 27° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
153°

Adjacent angles along a straight line add to 180°. Subtract 27 from 180.

Question 5 · reflex angle

The smaller angle between two rays is 72°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
288°

Reflex angle = 360°−72°=288°. Mark the outside turn.

Question 6 · classification

Classify a 100° angle as acute, right, obtuse, or straight.

100°
Show answer and reasoning
obtuse

Compare 100° to 90° and 180°. A ray length does not affect the turn.

Question 7 · measurement

Measure the smaller indicated angle between the two rays, in degrees.

?°
Show answer and reasoning
135°

Align the protractor at the vertex and read from the baseline: 135°.

Question 8 · construction

Using a protractor, construct an angle measuring 25°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 25° angle with labeled rays

Check placement of the center and zero baseline; mark 25°, draw second ray, and label.

25°
Question 9 · angle arithmetic

An angle of 149° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
31°

Adjacent angles along a straight line add to 180°. Subtract 149 from 180.

Question 10 · reflex angle

The smaller angle between two rays is 82°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
278°

Reflex angle = 360°−82°=278°. Mark the outside turn.

Question 11 · classification

Classify a 145° angle as acute, right, obtuse, or straight.

145°
Show answer and reasoning
obtuse

Compare 145° to 90° and 180°. A ray length does not affect the turn.

Question 12 · measurement

Measure the smaller indicated angle between the two rays, in degrees.

?°
Show answer and reasoning
75°

Align the protractor at the vertex and read from the baseline: 75°.

Question 13 · construction

Using a protractor, construct an angle measuring 70°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 70° angle with labeled rays

Check placement of the center and zero baseline; mark 70°, draw second ray, and label.

70°
Question 14 · angle arithmetic

An angle of 80° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
100°

Adjacent angles along a straight line add to 180°. Subtract 80 from 180.

Question 15 · reflex angle

The smaller angle between two rays is 83°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
277°

Reflex angle = 360°−83°=277°. Mark the outside turn.

Question 16 · classification

Classify a 135° angle as acute, right, obtuse, or straight.

135°
Show answer and reasoning
obtuse

Compare 135° to 90° and 180°. A ray length does not affect the turn.

Question 17 · measurement

Measure the smaller indicated angle between the two rays, in degrees.

?°
Show answer and reasoning
150°

Align the protractor at the vertex and read from the baseline: 150°.

Question 18 · construction

Using a protractor, construct an angle measuring 35°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 35° angle with labeled rays

Check placement of the center and zero baseline; mark 35°, draw second ray, and label.

35°
Question 19 · angle arithmetic

An angle of 102° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
78°

Adjacent angles along a straight line add to 180°. Subtract 102 from 180.

Question 20 · reflex angle

The smaller angle between two rays is 164°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
196°

Reflex angle = 360°−164°=196°. Mark the outside turn.

Question 21 · classification

Classify a 70° angle as acute, right, obtuse, or straight.

70°
Show answer and reasoning
acute

Compare 70° to 90° and 180°. A ray length does not affect the turn.

Question 22 · measurement

Measure the smaller indicated angle between the two rays, in degrees.

?°
Show answer and reasoning
105°

Align the protractor at the vertex and read from the baseline: 105°.

Question 23 · construction

Using a protractor, construct an angle measuring 140°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 140° angle with labeled rays

Check placement of the center and zero baseline; mark 140°, draw second ray, and label.

140°
Question 24 · angle arithmetic

An angle of 71° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
109°

Adjacent angles along a straight line add to 180°. Subtract 71 from 180.

Question 25 · reflex angle

The smaller angle between two rays is 57°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
303°

Reflex angle = 360°−57°=303°. Mark the outside turn.

Question 26 · classification

Classify a 15° angle as acute, right, obtuse, or straight.

15°
Show answer and reasoning
acute

Compare 15° to 90° and 180°. A ray length does not affect the turn.

Question 27 · measurement

Measure the smaller indicated angle between the two rays, in degrees.

?°
Show answer and reasoning
110°

Align the protractor at the vertex and read from the baseline: 110°.

Question 28 · construction

Using a protractor, construct an angle measuring 115°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 115° angle with labeled rays

Check placement of the center and zero baseline; mark 115°, draw second ray, and label.

115°
Question 29 · angle arithmetic

An angle of 77° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
103°

Adjacent angles along a straight line add to 180°. Subtract 77 from 180.

Question 30 · reflex angle

The smaller angle between two rays is 31°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
329°

Reflex angle = 360°−31°=329°. Mark the outside turn.

Question 31 · classification

Classify a 155° angle as acute, right, obtuse, or straight.

155°
Show answer and reasoning
obtuse

Compare 155° to 90° and 180°. A ray length does not affect the turn.

Question 32 · measurement

Measure the smaller indicated angle between the two rays, in degrees.

?°
Show answer and reasoning
160°

Align the protractor at the vertex and read from the baseline: 160°.

Question 33 · reasoning

Classify a 95° angle as acute, right, obtuse, or straight. Explain which turn or benchmark you used.

95°
Show answer and reasoning
obtuse

Compare 95° to 90° and 180°. A ray length does not affect the turn. The explanation must identify the selected angle region and use 90°, 180°, or 360° as appropriate.

Question 34 · reasoning

Measure the smaller indicated angle between the two rays, in degrees. Explain which turn or benchmark you used.

?°
Show answer and reasoning
70°

Align the protractor at the vertex and read from the baseline: 70°. The explanation must identify the selected angle region and use 90°, 180°, or 360° as appropriate.

Question 35 · reasoning

Using a protractor, construct an angle measuring 75°. Label its vertex and both rays. Explain which turn or benchmark you used.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 75° angle with labeled rays

Check placement of the center and zero baseline; mark 75°, draw second ray, and label. The explanation must identify the selected angle region and use 90°, 180°, or 360° as appropriate.

75°
Question 36 · reasoning

An angle of 114° lies next to another angle on a straight line. Find the missing angle. Explain which turn or benchmark you used.

Show answer and reasoning
66°

Adjacent angles along a straight line add to 180°. Subtract 114 from 180. The explanation must identify the selected angle region and use 90°, 180°, or 360° as appropriate.

Question 37 · reasoning

The smaller angle between two rays is 31°. Find their reflex angle. Explain which turn or benchmark you used.

?°Reflex turn: use the outside region
Show answer and reasoning
329°

Reflex angle = 360°−31°=329°. Mark the outside turn. The explanation must identify the selected angle region and use 90°, 180°, or 360° as appropriate.