Bluebook SAT Test Lines, Angles, and Triangles 14

Question 1

An exterior angle of a triangle is 155°. One remote interior angle is 85°. What is the other remote interior angle?

Accepted Answer

70°

Answer

Exterior angle = sum of remote interior angles: 155° = 85° + x → x = 70°.

Question 2

A transversal cuts two parallel lines. The angles at one intersection are all labeled. One angle is 38°. What is the value of its consecutive interior angle?

Accepted Answer

142°

Answer

Consecutive interior (co-interior) angles sum to 180°: 180° − 38° = 142°.

Question 3

Triangle ABC has AB = 5 cm, AC = 5 cm, and BC = 6 cm. What is the area of triangle ABC?

Accepted Answer

12 cm²

Answer

Height from A to BC bisects BC (isosceles): h = √(5² − 3²) = √16 = 4; area = ½(6)(4) = 12 cm².

Question 4

Lines p and q are parallel. A transversal makes a 67° angle with p. What are ALL possible angle measures formed at the intersection with q?

Accepted Answer

67° and 113°

Answer

The transversal creates two pairs of supplementary angles: 67° and 113° appear alternately at each intersection.

Question 5

In triangle LMN, side LM = 8 and side MN = 15 with a right angle at M. Which of the following is closest to angle L?

Accepted Answer

62°

Answer

tan(L) = opposite/adjacent = MN/LM = 15/8 = 1.875; angle L ≈ arctan(1.875) ≈ 62°.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Lines, Angles, and Triangles 14