Curriculum›4B›Chapter 15

Chapter 15 — Practice 1

18 original mixed questions

Practice earlier ideas together. Check answers only after you have completed an attempt.

Question 1 · classification

Classify a 150° angle as acute, right, obtuse, or straight.

150°
Show answer and reasoning
obtuse

Compare 150° 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
155°

Align the protractor at the vertex and read from the baseline: 155°.

Question 3 · construction

Using a protractor, construct an angle measuring 155°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 155° angle with labeled rays

Check placement of the center and zero baseline; mark 155°, draw second ray, and label.

155°
Question 4 · angle arithmetic

An angle of 78° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
102°

Adjacent angles along a straight line add to 180°. Subtract 78 from 180.

Question 5 · reflex angle

The smaller angle between two rays is 46°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
314°

Reflex angle = 360°−46°=314°. Mark the outside turn.

Question 6 · classification

Classify a 110° angle as acute, right, obtuse, or straight.

110°
Show answer and reasoning
obtuse

Compare 110° 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
20°

Align the protractor at the vertex and read from the baseline: 20°.

Question 8 · construction

Using a protractor, construct an angle measuring 165°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 165° angle with labeled rays

Check placement of the center and zero baseline; mark 165°, draw second ray, and label.

165°
Question 9 · angle arithmetic

An angle of 131° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
49°

Adjacent angles along a straight line add to 180°. Subtract 131 from 180.

Question 10 · reflex angle

The smaller angle between two rays is 142°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
218°

Reflex angle = 360°−142°=218°. Mark the outside turn.

Question 11 · classification

Classify a 125° angle as acute, right, obtuse, or straight.

125°
Show answer and reasoning
obtuse

Compare 125° 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
65°

Align the protractor at the vertex and read from the baseline: 65°.

Question 13 · construction

Using a protractor, construct an angle measuring 120°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 120° angle with labeled rays

Check placement of the center and zero baseline; mark 120°, draw second ray, and label.

120°
Question 14 · angle arithmetic

An angle of 106° lies next to another angle on a straight line. Find the missing angle.

Show answer and reasoning
74°

Adjacent angles along a straight line add to 180°. Subtract 106 from 180.

Question 15 · reflex angle

The smaller angle between two rays is 107°. Find their reflex angle.

?°Reflex turn: use the outside region
Show answer and reasoning
253°

Reflex angle = 360°−107°=253°. Mark the outside turn.

Question 16 · classification

Classify a 40° angle as acute, right, obtuse, or straight.

40°
Show answer and reasoning
acute

Compare 40° 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
90°

Align the protractor at the vertex and read from the baseline: 90°.

Question 18 · construction

Using a protractor, construct an angle measuring 30°. Label its vertex and both rays.

Use the space to draw both rays
Show answer and reasoning
A correctly constructed 30° angle with labeled rays

Check placement of the center and zero baseline; mark 30°, draw second ray, and label.

30°