Question

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Answer 1

Answer: x= 34

Explanation:

x + 12 + 100 +x = 180 use the equation and combine like terms

2x + 112 = 180 subtract 112 from both sides

-112 -112

2x = 68 Divide both sides by 2

x = 34

Check: 34 + 12 +100 + 34 = 180

180 = 180

Answer 2

x = 34°

Explanation:

To solve for 'x', we will need to use the Supplementary Angles theorem. This states that on a line, all angles must add up to 180°.

We can set up a simple algebraic equation to solve for 'x':

180 = x + 12 + 100 + x

180 = 112 + 2x **Combine like terms

68 = 2x **Divide both sides by '2'

x = 34°.

Therefore, the measure of ∠x = 34°.