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