The ratio of two complementary angles is 24:36. what is the measure of the smaller angle?

1 answer:

6 0

Hi there!

The sum of complementary angles is equal to 90°.

So the ratio given is 24 : 36.
You can simplify this to 2 : 3 by dividing by 12.
2x + 3x = 90
5x = 90
x = 18

Multiply 2 to 18
18 × 2 =36
Multiply 3 to 18
18 × 3 = 54

36 + 54 = 90

So your answer is 36°.
Hope this helped! :)

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