Question

Find the measures of the labeled angles 5x and 72-x

Answer 1

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Explanation:

Answer 2

The measures of the labeled angles are 135 degrees and 45 degrees.

Since the angles are supplementary, their sum is 180 degrees. So, we have the equation:

5x + (72-x) = 180

Combining like terms, we get:

4x + 72 = 180

Subtracting 72 from both sides, we have:

4x = 108

Dividing both sides by 4, we get:

x = 27

Now that we know x, we can find the measures of the labeled angles:

5x = 5(27) = 135 degrees

72-x = 72-27 = 45 degrees

Therefore, the measures of the labeled angles are 135 degrees and 45 degrees.