Question

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

Answer 1

Measure of the smaller angle = 54 degrees.

Step-by-step explanation:

Given: AB parallel to CD and t is the transversal.

Angles 1 and 2 are two angles on the same side of the transversal in the ration 3:7.

Angle 1 = 3x and Angle 2 = 7x

We know that angle 1 + 2 = 180 degrees. (angles are supplementary)

So 3x + 7x = 180

10x = 180

x = 18.

So angle 1 = 3x = 3 * 18 = 54 degrees  

  angle 2 = 7x = 7 * 18 = 126 degrees

Clearly angle 1 is the smaller angle = 54 degrees.

Answer 2

Answer:

answer is 56°

Step-by-step explanation:

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