80.8k views
1 vote
Given that you have 2 parallel lines cut by a transversal, what is the measure of angle 2?

Given that you have 2 parallel lines cut by a transversal, what is the measure of-example-1

1 Answer

5 votes

Explanation:

angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)

therefore,

2x + 10 = 226 - 4x

6x = 216

x = 36

hence,

angle 2 = 2(36) + 10 = 82deg

Topic: Angles

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

User Wallace Vizerra
by
8.3k points