Question

A pair of parallel lines is cut by a transversal.

If m∠A = (5x − 4)° and m∠B = (8x − 28)°, what is the value of x?

A) 8
B) 9.4
C) 16.3
D) 36

Answer 1

A

Explanation:

∠ A and ∠ B are alternate exterior angles and are congruent , then

∠ B = ∠ A , that is

8x - 28 = 5x - 4 ( subtract 5x from both sides )

3x - 28 = - 4 ( add 28 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Answer 2

First off, angle A = angle B due to the fact that alternate exterior angles are the same. After that, we just need to solve for X, thus making the final answer 8° (option A). Feel free to clarify if you have any questions after looking at the picture!