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Set up and solve an equation to find the measure of each missing angle.

Set up and solve an equation to find the measure of each missing angle.-example-1
User Vaaljan
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1 Answer

4 votes

Answer:

<A = 76°

<B = 63°

<C = 41°

Plug in the value of x

<C = 34 + 7

<C = 41°

Explanation:


63 + (2x + 8) + (x + 7) = 180 (sum of ∆)

Solve for x


63 + 2x + 8 + x + 7 = 180

Add like terms


78 + 3x = 180

Subtract 78 from each side


78 + 3x - 78 = 180 - 78


3x = 102

Divide both sides by 3

x = 34

<A = 2x + 8

Plug in the value of x

<A = 2(34) + 8 = 76°

<B = 63°

<C = x + 7

Plug in the value of x

<C = 34 + 7

<C = 41°

User Sevennineteen
by
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