Question

If m_2= x, m/3=40, and m24=5x + 14, what is mZ1?
A. 80
B. 121
C. 21
D. 61

Answer 1

D. 61

Explanation:

find x from the given triangle.

first step is to get x

add all inside angles = 180

∠2 + ∠3 + ∠4 = 180

x + 40 + 5x + 14 = 180

x + 5x = 180 - 40 - 14

6x = 126

x = 126 / 6

x = 21

substitute x=21 into angle 4

∠4 = 5x + 14

∠4 = 5(21) + 14

∠4 = 119

lastly, add ∠1 + ∠4 = 180

∠1 + 119 = 180

∠1 = 180 - 119

∠1 = 61°

therefore, the answer is D. 61