Question

assume that lines m and n are parallel. If the measure of angle 6 is 57° what is the measure of angle 1?

Answer 1

if < 6 = 57, then < 4 = 57.....(corresponding angles are equal)

and < 4 + < 1 = 180.....because they form a linear pair

57 + < 1 = 180
< 1 = 180 - 57
< 1 = 123 <===