Question

Letters a, b, c, and d are angles measures.

Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? Check all that apply.

a = c
a = d
c = d
b + c = 180°
b + d = 180°

Answer 1

When a line intersects two parallel lines, then corresponding angles are formed which means the same corners are congruent, So one of the options is c = d.

And because of vertical angles, a = d is also an answer. Lastly b+d=180, because b+c=180 an c=d therefore b+d=180. Thus the answer is B,C,E. which is a=d, c=d, and b+d=180. Hope this helps, and have a good day!