In a diagram, m<A = (4x-10) degrees and m<D = (2x+22) degrees. What is the measure of <D?

Answer 1

To find the measure of angle D, we need to set up an equation involving m<A and m<D.

Given that m<A = (4x-10) degrees and m<D = (2x+22) degrees, we can set up the equation:

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

Now, we solve for x:

4x - 2x = 22 + 10

2x = 32

x = 16

Now that we have found x, we can substitute it back into m<D to find the measure of angle D:

m<D = 2(16) + 22 = 32 + 22 = 54 degrees

Therefore, the measure of angle D is 54 degrees.