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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

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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

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