The difference in the measures of two complementary angles is 12 degrees. find the measure of the angles?
2 answers:
If two angles are complementary, the sum of their measures is 90 degrees. Call one of the angles x. This means that its complement is 90 - x degrees. But the difference in their measures is 12 degrees.
Answer:
51° and 39°
Step-by-step explanation:
Complementary angles are angles that add up to 90°
If we let one angle = x
Then the other angle is ( 90 - x)
Since the difference between the two angles is 12°
⇒ x - (90 - x) = 12
x - 90 + x = 12
2x -90 = 12
2x = 102
x = 102/2
x = 51°
So, one of the angle is 51°
The other angle = 90 - x = 90 - 51 = 39°
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