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Corresponding Angles

Part of the Angles section of Coddy's Geometry journey. Lesson 32 of 62.

Take the angle in the same position at each crossing: both above the parallel, both right of the transversal. These are corresponding angles, the F shape, and with parallel lines they are equal: the second crossing is a copy of the first, slid down the transversal.

Corresponding angles at two parallel line crossings: 125 degrees and y degrees

In the figure, y° sits exactly where 125° sits, one crossing lower, so y = 125. Same position, same measure: that is the whole rule.

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Challenge

Easy

The marked angles are corresponding: (2x + 10)° at the top crossing, 70° at the bottom.

Corresponding angles at two parallel line crossings: 2x plus 10 degrees and 70 degrees

Find x.

Try it yourself

2x + 10 = 70

Solve for x

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