Question

Lines p and q are parallel. Explain how to determine the measure of angle E.

Answer 1

m<E is congruent to 83 by alternate interior angles theorem, and def. congruent angles states that they're equal, so m<E is also 83 degrees.

Answer 2

K thanks. :)

Can you help me out with this one too?

What is m<AGD?

Answer 3

yes

Answer 4

linear pair thm says that all the angles that make up a straight line = 180 degrees, so m<cgf = 180-15-35=130 degrees. Vertical angles thm says vert. angles congruent and equal in measure, so m<agd is also 130 degres.

Answer 5

Thanks, your awesome!