Question

Prove that the sum of the measures of the interior angles of a triangle is 180°. Be sure to create and name the appropriate geometric figures.

Answer 1

Explanation:

We can prove it through different facts but we will use the fact of alternate interior angles formed by a transversal with two parallel lines are congruent.

Look at the figure for brief understanding.

Construct a line through B parallel to AC. Angle DBA is equal to CAB because they are a pair of alternate interior angle(alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal) The same reasoning goes with the alternate interior angles EBC and ACB....