Question

Solve for angle D using all three of the definitions of vertical, supplementary, and corresponding angles. Explain your reasoning.

Answer 1

picture here

Answer 2

@gorv @k_lynn

Answer 3

@robtobey

Answer 4

Lines m and n are parallel.
Therefore, angle a = 60 degrees (corresponding angles)
angle c = angle a = 60 degrees (vertical angles)
angle c + angle d + 45 degrees = 180 degrees (supplementary angles)
60 + angle d + 45 = 180
105 + angle d = 180
angle d = 180 = 105 = 75 degrees.

Answer 5

thx

Answer 6

yw