how many degrees are there in an angle which is equal to two-third of its complement ?
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Given, an angle is equal to two-third of its compliment.
Let that angle be A.
Therefore, ∠A=
3
2
(90−∠A)
⇒3∠A=180−2∠A
⇒5∠A=180
⇒∠A=36
∘
The sum of two complementary angles is 90∘. let one of the angles be x. So, one angle is36∘ which is two third of its complement 54∘. They are Complementary angles.
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