Question

The difference between an angle and its complement is 10° find measure of larger number.​

Answer 1

Answer:

50°

Step-by-step explanation:

let angles is x° then its complement is 90 - x° . Now given x°- (90 - x° ) = 10

⇒ x° - 90°+ x°= 10

⇒ 2x° = 10 + 90 = 100

⇒ x° = 100°/2 = 50° ∴

Answer 2

SOLUTION

GIVEN

The difference between an angle and its complement is 10°

TO DETERMINE

The measure of larger angle

CONCEPT TO BE IMPLEMENTED

Two angles are said to be complement if sum of the angles = 90°

EVALUATION

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°

FINAL ANSWER

The measure of larger angle = 50°

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