two complementary angles differ by 20 find the measure of each angle
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Answered by
20
let one angle be x and other be x-20
x+x-20=90
2x-20=90
2x=110
x=55
x-20=35
Answered by
19
Answer:
55° and 35°
Explanation:
Let the 1st angle be x.
They differ by 20 so second angle will be x-20.
x+x-20 = 90° {Complementary angle are the angles whose sum is 90°}
2x-20 = 90°
2x = 90+20
2x= 110°
x = 110/2
x = 55°
1st angle = x = 55°
2nd angle = x-20 = 55-20 = 35°
Therefore the angles are 55° and 35° respectively.
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