Question

In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)° . What is the measure of ∠D ? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measure of ∠D, we can set the two angle measures equal to each other since they are alternate interior angles formed by the transversal P.

4x - 10 = 2x + 22
Subtract 2x from both sides.
2x - 10 = 22
Add 10 to both sides.
2x = 32
Divide by 2.
x = 16

Now that we have found the value of x, we can substitute it back into the expression for ∠D to find its measure.

∠D = 2x + 22
∠D = (2)(16) + 22
∠D = 32 + 22
∠D = 54

Therefore, the measure of ∠D is 54°.