Question

Two angles are supplementary.

measures (4x + 9)° and the other angle measures
(x + 1)°. What is the measure of the smaller
angle?

Answer 1

35°

Explanation:

If 2 angles are supplementary, that means they add up to 180 :

Now we make an equation and solve for x :

(4x+9) + (x+1) = 180

5x+10 = 180

5x = 170

x = 34

Now we find the measure of the smaller angle using our value of x :

x+1 = 34 +1

x+1 = 35

Hope this helped and have a good day