difference between an angle and its complement is 10 degree find the measure of larger angle
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ANSWER:-
Correct option is
A
50
∘
It is given that: x−(90−x)=10⇒2x=100⇒x=50
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Let an angle = θ
Then its complement = 90° - θ
Now it is given that the difference between an angle and its complement is 10°
So by the given condition
90° - θ - θ = 10°
⇒ 90° - 2θ = 10°
⇒ - 2θ = 10° - 90°
⇒ 2θ = 80°
⇒ θ = 40°
So the required angle = 40° and its complement = 50°
∴ The measure of larger angle = 50°
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