233k views
5 votes
Select the correct answer from each drop-down menu.

Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.

Statement Reason
Points A, B, and C form a triangle. given
Let be a line passing through B and parallel to . definition of parallel lines
∠3 ≅ ∠5 and ∠1 ≅ ∠4
m∠1 = m∠4 and m∠3 = m∠5
m∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight line
m∠1 + m∠2 + m∠3 = 180° substitution

Select the correct answer from each drop-down menu. Points A, B, and C form a triangle-example-1
User Bstenzel
by
5.7k points

2 Answers

3 votes

Answer:

Alternate interior angle theorem

Explanation:

User Idak
by
5.4k points
5 votes

Answer:

Alternate interior angle theorem

Explanation:

User Morteza Ebrahimi
by
6.2k points