Bluebook SAT Test Lines, Angles, and Triangles 12

Question 1

Angle A and angle B are supplementary. Angle A is 4 times angle B. What is angle A?

Accepted Answer

144°

Answer

A + B = 180° and A = 4B → 4B + B = 180° → B = 36°; A = 144°.

Question 2

Triangle ABC has angle A = 50° and the exterior angle at B is 110°. What is angle C?

Accepted Answer

60°

Answer

Exterior angle = sum of remote interior angles: 110° = 50° + C → C = 60°.

Question 3

A transversal makes a 55° angle with parallel line p. What is the size of the co-interior angle on parallel line q on the same side?

Accepted Answer

125°

Answer

Co-interior angles are supplementary: 180° − 55° = 125°.

Question 4

In a triangle, two sides are 9 cm and 13 cm. Which of the following CANNOT be the third side?

Accepted Answer

22 cm

Answer

Triangle inequality: third side must be less than 9+13=22 and more than 13−9=4; 22 ≥ 22, which fails strict inequality.

Question 5

In similar triangles KLM and NOP, angle K = 48° and angle L = 77°. What is angle O?

Accepted Answer

77°

Answer

Similar triangles have equal corresponding angles; angle O corresponds to angle L = 77°.

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