Question

find the measure of angle that is four times complement​

Answer 1

Answer:

18° and 72°

Step-by-step explanation:

18°×4=72°

18°+72°=90°

Answer 2

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

∘