Question

ZX and XY are supplementaryIf the measure of ZY = 57° what is the measure of ZX ?

Answer 1

`ZX=123`

Step-by-step explanation

Step 1

Two Angles are Supplementary when they add up to 180 degrees

hence,as ZX and ZY are supplementary

`ZX\text{ +ZY=180}\rightarrow equation(1)`

also,angle ZY is 57

`ZY=57\rightarrow equation(2)`

Step 2

solve the equations.

a) replace ZY from equation (2) into equation (1)

`\begin{gathered} ZX\text{ +ZY=180}\rightarrow equation(1) \\ ZX\text{ +57=180} \\ \text{subtract 57 in both sides} \\ ZX\text{ +57-57=180-}57 \\ ZX=123 \end{gathered}`

therefore, the answer is

`ZX=123`

I hope this helps you