Question

The supplement of an angle is 10 more than twice the complement of the angle. find the angle.

Answer 1

Given a certain angle $x$, its complement is $90-x$ and its supplement is $180-x$.

So, if the supplement of an angle is 10 more than twice the complement, you have

$180-x = 2(90-x)+10$

expand the right hand side:

$180-x = 180-2x+10$

We can simplify the 180 appearing on both sides:

$-x = -2x+10$

Add 2x to both sides

$x = 10$