Question

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

Answer 1

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!