Quadrilateral mntu below is a parallelogram. if m∠u = 5x and m∠t = 2x - 9, what is the measure of ∠t?

1. A property a parallelogram must have is that adjacent angles must be supplementary, they add up to 180º. We are given the values of the adjacent angles U and T. Their sum must add up to 180º. Solve for x.

U + T = 180

5x + 2x - 9 = 180

7x - 9 = 180

7x = 189

x = 27

Substitute this value of x for itself in angle T.

T = 2 (27) - 9

T = 54 - 9

T = 45, (D) is the answer