Question

The measures of two complementary angles are (2x + 2)° and (6x + 8)°. What is the measure of the larger angle?

Answer 1

`68°`

Complementary Angles sum up to 90°, so set both expressions equal to 90°:

90° = [2x + 2]° + [6x + 8]°

90° = [8x + 10]°

-10° - 10°

___________

80° = [8x]°

__ ___

8° 8°

`10° = x` [Plus this back into both expressions above to get the smaller angle measure of 22°, and the larger angle of 68°.]

* 90° = 22° + 68°☑

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