Question

lines 1 and m are parallel lines, t1 and t2 are transversals what is measure 1 if measure 4=65 degrees. Justify your answer.

Answer 1

Let us remove the transversal t1 because it does not factor in our problem.

angle 4 is equal to 65 degrees. It is an interior angle. It is also congruent to angle 2.

Angle 2 is equal to 65 degrees. Both angle 2 and angle 1 are supplementary angles. This means that their sum is equal to 180 degrees.

Angle 1 = 180 degrees - 65 degrees.
Angle 1 = 115 degrees.