Answer:
[tex]71° = m∠G[/tex]
[tex]54° = m∠T[/tex]
[tex]10 = x[/tex]
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°
____________
[tex]\frac{130°}{13} = \frac{[13x]°}{13} \\ \\ 10° = x[/tex]
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.
