Question

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

Answer 1

Answer:

∠1 = ∠4 and ∠3 = ∠5  ( alternate interior angle).

Step-by-step explanation:

Given : Triangle ABC with angle  1, 2, 3.

To find : Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.

Solution : We have given that triangle ABC with angle  1, 2, 3.

Here, line DE and AC are parallel and BA is traversal line.

∠1 = ∠4 ( alternate interior angle)

∠3 = ∠5 ( alternate interior angle)

∠4 + ∠2+ ∠5 = 180  ( angle formed on line)

∠1 + ∠2 + ∠3 = 180.

Therefore, ∠1 = ∠4 and ∠3 = ∠5  ( alternate interior angle).