Question

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

Answer 1

`71° = m∠G`

`54° = m∠T`

`10 = x`

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°

____________

`(130°)/(13) = ([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.

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