bigbrothercj2008
bigbrothercj2008 bigbrothercj2008
  • 20-10-2019
  • Mathematics
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The measures of two complementary angles are (2x + 2)° and (6x + 8)°. What is the measure of the larger angle?

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BasketballEinstein
BasketballEinstein BasketballEinstein
  • 24-10-2019

Answer:

[tex]68°[/tex]

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°

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

* 90° = 22° + 68°☑

I am joyous to assist you anytime.

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