Question

If a transversal intersects two parallel lines such that the ratio between the interior angles on one of its sides is 3:7, then the measure of the smaller angle is ?
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Answer 1

Answer:

Measure of the smaller angle = 54 degrees.

Angles 1 and 2 are two angles on the same side of the transversal in the ration 3:7. x = 18. Clearly angle 1 is the smaller angle = 54 degrees

Answer 2

Step-by-step explanation:

Interior angles are supplementary i.e. they add up to 180 degrees

So 180 degrees is divided into (3 + 7) = 10 parts

Each part is 180/10 = 18 degrees

3 parts, smaller angle = 3 x 18 = 54 degrees