Question

Two angles are supplementary. The larger angle is 20o more than thrice the

smaller. Find the angles.​

Answer 1

Answer:

Let the angles be A and B ,such that B>A ,then , we know that supplementary angles have a sum of 180° ,so,

A+B=180°−−−−−−−−(i)

Now , if we formulate the given question, we get:

B=3A−20° ,so, if we put this value in equation (i), we get:

A+3A−20°=180°⟹4A=200°⟹A=50° ,then,

B=180°−A=180°−50°⟹B=130°

So, the 2 angles are 50° and 130° ,