NJGPA Applying Geometric Theorems 2

Question 1

Two parallel lines are cut by a transversal. One co-interior (same-side interior) angle measures 112°. What is the measure of the other co-interior angle?

Accepted Answer

68°

Answer

112°

Answer

58°

Answer

78°

Question 2

In triangle PQR, the exterior angle at vertex R measures 135°. If angle P = 60°, what is the measure of angle Q?

Accepted Answer

75°

Answer

45°

Answer

95°

Answer

80°

Question 3

A quadrilateral has three angles measuring 85°, 95°, and 110°. What is the fourth angle?

Accepted Answer

70°

Answer

60°

Answer

80°

Answer

90°

Question 4

In a circle, a central angle intercepts an arc of 140°. What is the measure of an inscribed angle that intercepts the same arc?

Accepted Answer

70°

Answer

140°

Answer

280°

Answer

35°

Question 5

Triangle ABC is isosceles with AB = AC. If angle A = 40°, what are the measures of angles B and C?

Accepted Answer

70° each

Answer

60° each

Answer

80° each

Answer

50° each

Question 6

Two chords intersect inside a circle. One chord is divided into segments of 4 and 9. The other chord is divided into segments of 6 and x. What is x?

Accepted Answer

6

Answer

8

Answer

9

Answer

4

Question 7

In right triangle DEF with the right angle at E, DE = 9 and EF = 12. What is the length of DF?

Accepted Answer

15

Answer

21

Answer

√225

Answer

18