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

User Dave Jones
by
7.8k points

1 Answer

4 votes

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

User Sammys
by
7.9k points
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