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Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles. please explain your answer Question 1 options: A) 83° B) 7° C) 173° D) 97°

Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles. please explain-example-1
User Shanit
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2 Answers

3 votes

Answer:

It's D) 97°

Explanation:

Just stick this in ya brain

Supplementary angles => sum => 180

User Dimacpp
by
5.1k points
3 votes

Answer:

D

Explanation:

So, we know that ∠XYZ and ∠PQR are supplementary angles. This means that their total sum is 180 degrees. In an equation, this is:


\angle PQR+\angle XYZ=180

Since we already know the measure of PQR, substitute 83 for PQR:


83+\angle XYZ=180

Subtract 83 from both sides:


(83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree

The answer is D

User Bezmax
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5.6k points