Question

ZA and ZB are supplementary angles. The measure of ZA is three time the measure of ZB.

Part A: Write an equation to represent the supplementary angle relationship between ZA and ZB.
Part B: Use the equation to find the measures of ZA and ZB.

Answer 1

A. ZA+ZB =180

B. ZA is 135 and ZB is 45

Step-by-step explanation:since ZA and ZB are supplementary

ZA+Zb =180°

But ZA=3ZB

∴ 3ZB+ZB=180° ⇒4ZB=180°

∴ZB =45