Question

If the complement of an angle is 4 times the angle, find the angle.
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Answer 1

Answer:

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  

∘