m A=(4x-10) and m D=(2x+22). What is the measure of D?

Answer 1

To find the measure of D, we need to substitute the given expressions for A and D into the formula for the sum of two angles, which is:

A + D = 180

Substitute the values for A and D:

(4x-10) + (2x+22) = 180

Combine like terms:

6x + 12 = 180

Subtract 12 from both sides:

6x = 168

Divide by 6:

x = 28

Now substitute the value of x back into the expression for D:

D = 2x + 22
D = 2(28) + 22
D = 56 + 22
D = 78

Therefore, the measure of angle D is 78 degrees.