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Question Video: Finding an Unknown Angle in Problems Involving Parallel Lines Mathematics • 8th Grade

Work out the value of 𝑥 in the figure.

00:33

Video Transcript

Work out the value of 𝑥 in the figure.

First of all, let’s think about what we can say about these lines. We have two parallel lines cut by a transversal, and here are the two angles we’re considering. They’re on the same side of the transversal and they’re in the same position at either intersection, which means we call them corresponding angles. And when two parallel lines are cut by a transversal, corresponding angles are congruent, and therefore 𝑥 must be equal to 72.

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