For each triangle, find the value of x and find the missing angle(s)
1 answer:
Answer:



Step-by-step explanation:
Use the Triangular Interior Angles Theorem to figure this out:
180° = [7x + 1]° + [6x - 6]° + 55°
180° = [−5 + 13x]° + 55°
180° = [50 + 13x]°
-50° - 50°
____________
![\frac{130°}{13} = \frac{[13x]°}{13} \\ \\ 10° = x](https://tex.z-dn.net/?f=%5Cfrac%7B130%C2%B0%7D%7B13%7D%20%3D%20%5Cfrac%7B%5B13x%5D%C2%B0%7D%7B13%7D%20%5C%5C%20%5C%5C%2010%C2%B0%20%3D%20x)
You then plug this back into all three expressions to get 71° as the measure of ∠G and 54° as the measure of ∠T.
I am joyous to assist you anytime.
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