Question

Given: y ll zProve: m5+m2 + m26 = 180°Angles Lines Statements Reasons21232526LSm21m23m25m26LAM132уStatements✓ 1.9 112Reasons1. given567ZСB.

Answer 1

Fist equation: Angle 1 + Angle 2 + Angle 3 = 180 because they are supplementary

Second equation: Angle 3 = Angle 6 because they are alternate angles

Third equation: Angle 1 = Angle 5 because they are alternate angles

Using Angle 6 instead of Angle 3 and Angle 5 instead of Angle 1 in the first equation:

Angle 5 + Angle 2 + Angle 6 = 180

This angles are the interior angles of the triangle, so the sum of the interior angles of a triangle is 180