Question

An angle measures 40 more than the measure of its supplementary angle. What is the measure of each angle

Answer 1

65 and 25

Explanation:

Answer 2

Sum of two angles that are supplementary = 180°

Let the first angle be x .

Then the other angle = x + 40

Measure of each angle =

`x + x + 40 = 180`

`2x + 40 = 180`

`2x = 180 - 40`

`2x = 140°`

`x = (140)/(2)`

`x = 70°`

Which means :-

The first angle:-

`= x = 70°`

The second angle :-

`x + 40`

`70 + 40`

`= 110°`

Therefore , the two supplementary angles are 70° and 110° .