Question

What is m N
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Answer 1

68

Explanation:

In this case, angle P and angle M are equal to each other. So we can set up the equation like this:

4x+36=6x-2

Then we can start to simplify and match up like terms:

2+36=6x-4x

Then add or subtract the like terms:

38=2x

Then, divide both sides by 2:

x=19

So we can insert 19 for x for both expressions:

Angle P: 112

Angle M: 112

So since every quadrilateral adds up to 360, we can subtract 2(112) from 360:

360-2(112)

360-224

=136

Since angle Q and N should be equal, we can divide 136 by 2 to get the measure for angle N and angle Q:

136/2=68

So the measure of angle N is 68