Question

Solve for x and then find the measure of angle, B

Answer 1

A is B are congruent so you do
8x-8=5x+25 which equals x=11 and B=80 because you do 5 times 11 plus 25
Answer:
X=11
B=80

Answer 2

x = 11, ∠ B = 80°

Explanation:

∠ A and ∠ B are corresponding angles and are congruent, thus

8x - 8 = 5x + 25 ( subtract 5x from both sides )

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11

Thus

∠ B = 5x + 25 = 5(11) + 25 = 55 + 25 = 80°