Question

Two parallel lines are cut by transversal. If the interior angles on the same side of transversal are in the ratio 4:5, find the measure of each of these angles respectively.​

Answer 1

Interior angles on same side of transversal add up to 180*

Ratio of interior angles = 4:5

Therfore the two angles are 4x and 5x

So, 4x + 5x = 180*

9x = 180*

x = 180/9

x = 20*

So, the two angles are 4x = 80*, and 5x = 100*

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