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x = 34°

Step-by-step 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°.

x= 34  

Step-by-step 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