Question

Solve for m.D:
D (9x-44)
X =
(6x+7)

Answer 1

m∠D = 109

Explanation:

This is a parallelogram.

In parallelograms, the opposite interior angles are congruent, so we can write the following equation to find, first value x the measure of m∠D:

9x - 44 = 6x + 7

• Transfer like terms to the same side of the equation.

9x - 6x = 7 + 44

• Add/subtract.

3x = 51

• Divide both sides by 3

x = 17

Now we can calculate measure of m∠D:

m∠D = 9x - 44

• Rewrite equation using the value we found for x.

9×17 + 44 = 109