Question

An angle exceeds the measure of its supplement by 40degree .what is the measure of the supplement?

Answer 1

70 degrees

Explanation:

Supplementary angles sum to 180 degrees. Let our angle be A. Then `A=40+(180-A)=220-ArArr2A=220rArrA=110`.

So our angle is 110 degrees, and its supplement is 70 degrees.

Answer 2

`70^@`

Explanation:

Let the supplement angle be `x`. Therefore the measure of the bigger angle is `x+40`. Since the sum of supplementary angles add up to `180^@`, we get:

`x+x+40=180`

`2x+40=180`

`2x=140`

`x=70`