Question

01) The differonce between an angle and its comple-
ment is 10° find measure of a larger angle.
who can answer ​

Answer 1

Answer:

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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