Question

the angle which is four times more than its complement is
1. 120°
2. 144°
3. 150°
4. 100°​

Answer 1

Step-by-step explanation:

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∘