Question

Two angles are supplementary (add up to 180 degrees). The measure of one angle is ten more than the other. Find the measure of each angle.

Plz show work

Answer 1

`a + b = 180\textdegree.`

Given that
`a > b - 10 \Rightarrow a = 100\textdegree, b = 80\textdegree.`

Answer 2

Let the smaller angle = x
Larger angle = x + 10

They add up to 180
x + x + 10 = 180
2x + 10 = 180
2x = 170
x = 85

x = 85
x + 10 = 95

Answer: The angles are 85° and 95°