Question

In triangle XYZ, m∠Z = (3m − 12)° and the exterior angle to ∠Z measures (2m + 2)°. Determine the value of m.

m = 38
m = 20
m = 15
m = 14

Answer 1

`m=38`

Explanation:

An interior angle and its corresponding exterior angle are supplementary, so:

`3m-12+2m+2=180 \\ \\ 5m-10=180 \\ \\ 5m=190 \\ \\ m=38`