Bluebook SAT Test Lines, Angles, and Triangles 2

Question 1

In triangle ABC, angle A = 2x, angle B = x + 15, angle C = x + 45. What is x?

Accepted Answer

30

Answer

2x + (x+15) + (x+45) = 180 → 4x + 60 = 180 → x = 30.

Question 2

Two similar triangles have sides in the ratio 2:5. The shorter triangle has a base of 8 cm. What is the base of the larger triangle?

Accepted Answer

20 cm

Answer

2/5 = 8/b → b = 40/2 = 20 cm.

Question 3

Lines m and n are parallel. A transversal makes a 55° angle with m. What is the alternate exterior angle at n?

Accepted Answer

55°

Answer

Alternate exterior angles formed by parallel lines are equal: 55°.

Question 4

What is each interior angle of an equilateral triangle?

Accepted Answer

60°

Answer

Three equal angles sum to 180°; 180° ÷ 3 = 60°.

Question 5

Two complementary angles are in the ratio 1:4. What is the larger angle?

Accepted Answer

72°

Answer

x + 4x = 90° → x = 18°; larger angle = 72°.

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