Question

find the Angle which is double of its supplement. Pls Give full explanation on handmade notes on paper ​

Answer 1

Answer:

Complete step-by-step answer:

We need to find an angle which is twice its supplement. So, let us assume the angle to be x. The supplement of a given angle is such that it makes a sum of 180o180o with the original angle. So, let the supplement be y. We can write that-

x+y=180ox+y=180o

y=180o−xy=180o−x...(1)

It has also be given that the given angle is twice its supplement, so we can write that-

x=2yx=2y

Substituting the value of y from equation (1), we can write that-

x=2(180−x)x=2(180−x)

x=360−2xx=360−2x

Transposing all the terms to LHS, we can write that-

x+2x−360=0x+2x−360=0

3x−360=03x−360=0

3x=3603x=360

x=3603=120ox=3603=120o

This is the required angle which is twice its supplement, y=180−120=60oy=180−120=60o. The correct option is A.

Note: A major point of confusion here is between option A and C. Many students often mark option C as the answer, which is 60o60o. But this is incorrect, because we need to find the angle which is twice its supplement. When we look closely, 60o60o is actually half of its supplement, and hence it is a wrong answer.

Answer 2

Answer:

60

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