Question

Find the measure of an angle which is equal to its complement. ​

Answer 1

Step-by-step explanation:

let the angle be x

therefore,x+x=90o

2x=90o

x=90/2

x=45o

Answer 2

The measure of the angle = 45°

Given :

The measure of an angle which is equal to its complement.

To find :

The measure of the angle

Solution :

Step 1 of 2 :

Form the equation

Let the measure of the angle = x

Then complement of the angle = 90° - x

By the given condition

x = 90° - x

Step 2 of 2 :

Find the angle

x = 90° - x

⇒ x + x = 90°

⇒ 2x = 90°

⇒ x = 45°

The measure of the angle = 45°

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