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natali 33 [55]
3 years ago
10

For each triangle, find the value of x and find the missing angle​(s)

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

71° = m∠G

54° = m∠T

10 = x

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

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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