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3. The difference in the measures of two complementary angles is 12°. Find the measures of the angles.
2.2 Supplementary Angles
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Let one angle be x ,
- If two angles are complementary, the sum of their measures is 90 degrees.
SO, its complement = (90-x)
Then,
=> x-(90-x) = 12
=> x-90+x = 12
=> 2x = 12+90=> 102
=> x =102/2 = 51°
And its complement = (90-x) = 90-51 = 39°.
Hence, measures of two angles are 51 °& 39° .
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