Question

XYZ shown below has a measure of (8x + 12)°. The measure of 1 is (4x + 8)°, and the measure of 2 is (9x - 11).

What is the measure of ZXYZ?
A 3
B 20°
C 36°
D 60

Answer 1

C

Explanation:

∠ XYZ = ∠ 1 + ∠ 2, substitute values

8x + 12 = 4x + 8 + 9x - 11 = 13x - 3 ( subtract 13x from both sides )

- 5x + 12 = - 3 ( subtract 12 from both sides )

- 5x = - 15 ( divide both sides by - 5 )

x = 3

Thus

∠ XYZ = 8x + 12 = 8(3) + 12 = 24 + 12 = 36° → C