angle A and angle B are complementary angles If measure angle A: measure angle B = 4:5 then angle A = ?
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Question
Two complementary angles are in the ratio 4:5. Find the angles.
Answer
Let the two angles be 4x and 5x
The sum of two complementary angles is 90∘
∴4x+5x=90∘
⇒9x=90∘
⇒x= 990∘
=10∘
So the angles are 4×10∘ =40∘
and 5×10 =50∘
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