Question

Using the image find the missing angles listed. provide justification for each angle which includes a clear description of the angle pair(s) used to decide.

fill in the blanks
Angle 3 = _______, because _______________________________
Angle 15 = _______, because ______________________________

Answer 1

answer to this is 3=42*

Answer 2

Angle 3 = 42° because of alternate interior angles theorem

Angle 15 = 62° because of alternate exterior angles theorem

Explanation:

Alternate interior angle theorem: angles that lie on the inner side of the parallel lines but on opposite sides of the transversal

Alternate exterior angle theorem: angles that lie on the outer side of the parallel line but on opposite sides of the transversal

transversal: a line that passes through two lines in the same plane at two distinct points