The measure of angle M in the parallelogram is 117 degrees.
How to find the angle of a parallelogram?
A parallelogram is a type of quadrilateral that has both pairs of opposite sides parallel and equal.
Properties of a parallelogram.
- opposite sides are equal
- opposite sides are parallel
- opposite angles are equal
- diagonal bisect each other
- adjacent angles are supplementary
- The sum of angle is 360 degrees.
Therefore,
6x + 9 + 3x + 9 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162 / 9
x = 18
Therefore,
angle M =6x + 9 = 6(18) + 9 = 108 + 9 = 117 degrees.
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