SOLUTION: The complement of an angle measures 78 degrees less than the angle. How do I find the measure of the angle?

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Question 850896: The complement of an angle measures 78 degrees less than the angle. How do I find the measure of the angle?
Found 2 solutions by ewatrrr, lwsshak3:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent the angle

Question states***

 (90°-x) = x - 78°

  168° = 2x

  84° = x

CHECKING our answer***(complement 6°)

 6° = 84° - 78°

Wish You the Best in your Studies.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The complement of an angle measures 78 degrees less than the angle. How do I find the measure of the angle?
***
The measure of an angle plus its complement=90˚
It follows, then: measure of an angle=90˚minus its complement.
For given problem:
measure of an angle=90-78=12˚