Question

Given m, is parallel to, nm∥n, find the value of x.
m
n
t
(4x+22)°
(9x-8)°
Answer
Attempt 1

Answer 1

If lines m and n are parallel and t is a transversal, the two marked angles are congruent (they're corresponding/alternate interior angles), so set them equal:

4x + 22 = 9x − 8
22 + 8 = 9x − 4x
30 = 5x
x = 6

Check: 4(6)+22 = 46 and 9(6)−8 = 46, so the angles match.