In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)° .
Without the diagram to reference, we can still solve for x by setting the two angle measures equal to each other:
4x - 10 = 2x + 22
Subtracting 2x from both sides:
2x - 10 = 22
Adding 10 to both sides:
2x = 32
Dividing both sides by 2:
x = 16
Therefore, the value of x is 16.
What is the measure of ∠D ?
To find the measure of ∠D, substitute the value of x (which we found to be 16) into the expression for ∠D:
m∠D = 2x + 22
m∠D = 2(16) + 22
m∠D = 32 + 22
m∠D = 54
Therefore, the measure of ∠D is 54 degrees.