Based on the properties of a parallelogram, m∠N = 68°.
What is a Parallelogram?
- The two pairs of sides of a parallelogram are parallel and are also congruent.
- Opposite angles are congruent while consecutive angles are supplementary in a parallelogram.
Thus:
4x + 36 = 6x - 2
Add like terms
4x - 6x = -36 - 2
-2x = -38
x = 19
m∠M = 6x - 2
Plug in the value of x
m∠M = 6(19) - 2
m∠M = 112°
m∠N = 180 - 112
m∠N = 68°
Therefore, based on the properties of a parallelogram, m∠N = 68°.
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