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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

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 class=

Respuesta :

Answer:

C

Step-by-step 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

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