Answer:
x = 30 and both the angles are 80°
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In the given figure,
∠(2x + 20) = ∠(3x - 10) [corresponding angles]
20 = x - 10 [subtracting 2x from both sides]
x = 30 [adding 10 on both sides]
Value of the angles:
the questions required us to find the measure of a certain ∠XAE, but since we cannot see an ∠XAE in the image provided, we will find the measure of both the angles [let ∠(2x + 20) = ∠1 and ∠(3x-10) = ∠2]
Measure of ∠1:
We are given that the magnitude of ∠1 is:
∠1 = 2x + 20
since x = 30
∠1 = 2(30) + 20 [replacing the value of x]
∠1 = 80°
Measure of ∠2:
We are given that the magnitude of ∠2 is:
∠2 = 3x - 10
since x = 30
∠2 = 3(30) - 10 [replacing the value of x]
∠2 = 80°