Question

find the value of x in given figure

Answer 1

STEP 1: Find ∠BAC

∠BAC = 32° (vertically opposite angle)

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STEP 2: Form equation:

Sum of angles in a triangle = 180°

(x + 14) + 90 + (32 + x) = 180

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STEP 3: Solve x:

(x + 14) + 90 + (32 + x) = 180

x + 14 + 90 + 32 + x = 180

2x + 136 = 180

2x = 44

x = 22

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Answer: x = 22