Answer:
x = 8
m∠B = 70°
Step-by-step explanation:
The alternate exterior angles theorem states that m∠A and m∠B are the same. So,
8x + 6 = 4x + 38
Subtract 6 from both sides.
8x = 4x + 32
Subtract 4x from both sides.
4x = 32
Divide both sides by 4.
x = 8
Now to find the measure of m∠B, substitute x = 32 into 4x + 38.
8 * 4 + 38 =
32+ 38 = 70
m∠B = 70°
Just in case, let's double check our answer. Because m∠A is equal to m∠B, m∠A should be equal to 70.
70 = 8x + 6
70 = 8 * 8 + 6
70 = 64 + 6
70 = 70
Thus, x = 8 and m∠B = 70° is true.
I hope this helps! Feel free to ask any questions!
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