Find the measures of the supplementary angles.

Question

Answer 1

Hey Marlene. I think the key here is noting that two supplementary angles add to 180°, and thus concluding that 9z°+7z°=180°, and solving for z. We see

9z + 7z = 180 ⇒ 16z = 180 ⇒ z = 11.25.

Thus the angle on the left has measure 9(11.25°) = 101.25°, while the one on the right has measure

7(11.25°) = 78.75°. Indeed, we see that 101.25 + 78.75 = 180.

Hope this helps.

Answer 2

They add to 180° so 9z + 7z = 180 meaning 16z = 180 or z = 180/16 = 11.25

So one angle is 9(11.25) = 101.25° while the other angle is 7(11.25) = 78.75°