Math & Geometry: In a triangle, the sum of the measures of the interior angles is 180°

Sunday, October 23, 2016

In a triangle, the sum of the measures of the interior angles is 180°

Given:
Triangle ABC

In a triangle, the sum of the measures of the interior angles is 180°

Prove:

Proof:

Through C, draw ED||AB

In a triangle, the sum of the measures of the interior angles is 180°

1:

- The angles on segment ED

2:

- alternate interior angles are congruent, ED||AB, transversals: AC, BC

- From 1, 2

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