Question

Find the measure of the angle which is four times its complement

Answer 1

Let the angle be x°. Then it's

complement = (4x)°.

We know that if the sum of two angles is equal to 90° then the angles are said to be complementary.

4x + x = 90

=> 5x = 90

=> x = 90/5

=> x = 18

Hence , the angle = 18° and it's

complement = (4 × 18)° = 72°.

Answer 2

Step-by-step explanation:

Let it's complement be "x".

Then, the required angle will be "4x".

As we know, x + 4x = 90° [ complementary angles ]

=> 5x = 90°

Therefore, x = 90/5

= 18°

So, It's complement = x = 18°

Now, A/Q :-

The required angle = 4x = 4 × 18°

= 72°

Hope it helps :)