33.6k views
2 votes
In ​ Quadrilateral ABCD ​ , AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=31°. What is m∠5?

In ​ Quadrilateral ABCD ​ , AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=31°. What is m∠5?-example-1
User Ayushgp
by
6.5k points

2 Answers

4 votes

Answer: m∠5 would be 31


Step-by-step explanation: This is because they are congruent.


User Santosh Ghimire
by
6.5k points
5 votes

This problem can be answered through the Alternate interior angle theorem. The theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are matching or congruent. So therefore, m ∠5 = m∠2, the answer is 31.

User James Meakin
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.