Question

WILL MARK BRAINLIEST
Refer to the figure below to answer the following questions. Identify the special name for each angle pair.
Given p ║q, m∠10 = 3x – 7, and m∠13 = 4x – 9, find the value of x.

answer choices
2, 180, 28, 16

Answer 1

Angles m10 and m13 are co-interior angles (both angles add up to 180, as they both lie on a pair of parallel lines and share another line) therefore:

180 = m10 + m13

180 = 3x - 7 + 4x - 9

180 = 7x - 16

Solve to find the value of x:

180 = 7x - 16

196 = 7x

x = 196 / 7

x = 28