Question

Use the figure below to complete the following problem.

Answer 1

∠H = 120°

Explanation:

In a parallelogram, adjacent angles are supplementary:

∠H +∠T = 180

(2x +60) + (x +30) = 180

3x = 90 . . . . . . . subtract 90, collect terms

x = 30 . . . . . . . . divide by the coefficient of x

Then the measure of angle H is ...

∠H = 2·30 +60 = 120 . . . . . degrees