Question

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is

Answer 1

Let the a angles be 2x and 3x

We know that the sum of the angles on the same side of the transversal are supplementary.

Thus, 2x+3x=180

5x=180

x=180/5=36

Thus the greater angle measures 108 degrees..

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Answer 2

2x +3x=180

5x=180

x=180/5

x=32

greater angle=3x=3*32 =64

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