468,466 views
11 votes
11 votes
С D 3 N In Quadrilateral ABCD, AB || CD and m/2 = 27 What is m/52 6 5 B Enter your answer in the box

User Koti Tummala
by
2.8k points

1 Answer

30 votes
30 votes

Given that the line AB is parallel to CD.

m∠2 = 27 degrees. Find m∠5.

Using the properties of parallel lines: Interior angles on opposite side of a transversal are congruent.

Here, m∠2 and m∠5 are on opposite sides of a transversal DB.

This means that both angles must be equal.

Thus,

m∠2 = ∠5 = 27°

ANSWER:

m∠5 = 27°

User Tibor Benke
by
3.1k points