Question

on the same side of a transversal on two lines, one of the interior angles is twice the other. find the angles if the lines are parallel.

Answer 1

Answer:

60 degrees and 120 degrees

Step-by-step explanation:

We know that the sum of the interior angles on the same side of the transversal is 180 degrees.

Hence, if the smaller angle is x degrees, then the other angle is 2x degrees.

Also, x + 2x = 180

or, 3x = 180

x = 180/3 = 60 degrees

therefore, the smaller angle is 60 degrees and the bigger angle is 2x, which is 2 x 60 = 120 degrees