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

asked Sep 24, 2023 29.8k views

4 votes

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

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7 votes

Answer:

m=38

Explanation:

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

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

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