Question

find 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 = 180∘

and its complement = (4×18°)=72∘

Answer 2

Step-by-step explanation:

x=4(90-×)

x=360-4x

5x=360

x=360/5

x=72°(Answer)