Bluebook SAT Test Lines, Angles, and Triangles 8

Question 1

An angle is 14° more than its complement. What is the angle?

Accepted Answer

52°

Answer

38°

Answer

62°

Answer

76°

Question 2

Triangle XYZ has angle X = (4k + 5)°, angle Y = (2k + 15)°, angle Z = (6k − 20)°. What is angle Z?

Accepted Answer

70°

Answer

50°

Answer

55°

Answer

85°

Question 3

An isosceles triangle has perimeter 50 cm and base 14 cm. What are the two equal sides?

Accepted Answer

18 cm

Answer

14 cm

Answer

16 cm

Answer

22 cm

Question 4

In similar triangles, the ratio of similarity is 3:4. The smaller triangle has altitude 12. What is the larger triangle's altitude?

Accepted Answer

16

Answer

9

Answer

12

Answer

18

Question 5

An exterior angle of a triangle is (5x + 3)°. The two remote interior angles are (2x + 5)° and (x + 6)°. What is x?

Accepted Answer

4

Answer

1

Answer

3

Answer

6

Question 6

Two parallel lines are cut by a transversal. Co-interior angles are (4n + 10)° and (2n + 26)°. What is n?

Accepted Answer

24

Answer

12

Answer

18

Answer

30

Question 7

Triangle ABC ≅ Triangle DEF (by SAS): AB = DE = 8, angle B = angle E = 50°, BC = EF = 6. What can be concluded?

Accepted Answer

AC = DF

Answer

The triangles are similar but not necessarily congruent

Answer

AB = EF

Answer

Angle A = Angle F