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The angle measurements in the diagram are represented by the following expressions.

The angle measurements in the diagram are represented by the following expressions-example-1

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Answer: x = 12

Explanations:

Note: From the diagram drawn, This means that

Equating the two angles since they are alternate:

5x - 12 = 2x + 24

5x - 2x = 24 + 12

3x = 36

x = 36/3

x = 12

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