The measure of angle M is 117°
A Parallelogram is a quadrilateral with two pairs of parallel lines. The adjascent angles of a parallelogram sum up to be 180 and the opposite angles are equal.
6x + 9 + 3x + 9 = 180
9x = 180 - 18
9x = 162
divide both sides by 9
x = 162/9
x = 18
therefore the value of x is 18
The value of angle M is
angle M = 6x + 9
= 6(18) + 9
= 117°
Therefore the measure of angle M is 117°