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VMariaS [17]
3 years ago
10

Find the value of x and the unknown angle in each problem

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0
Hello!

Angle POQ and angle MON are vertical which means they are congruent

x - 28 = 149

Add 28 to both sides

x = 177

Angle NOQ and angle NOM are supplementary meaning they add to 180

NOQ + NOM = 180

Put in the known angle

NOQ + 149 = 180

Subtract 149 from both sides

NOQ = 31

The answers are x = 177 and angle NOQ = 31

Hope this helps!
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Answer:

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Step-by-step explanation:

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