Question

Given: WXY, 1 an exterior

Prove: ∠1 > ∠2
Which of the following statements would complete the proof in line 2?
A) ∠1 = ∠2 + ∠3
B) ∠1 = ∠2 + ∠4
C) ∠1 = ∠3 + ∠4

Answer 1

To prove that ∠1 is greater than ∠2 given that WXY is an exterior angle, we need to use the fact that the sum of the interior angles of a triangle is 180 degrees. The correct statement that completes the proof is option A) ∠1 = ∠2 + ∠3.

Step-by-step explanation:

To prove that ∠1 is greater than ∠2 given that WXY is an exterior angle, we need to use the fact that the sum of the interior angles of a triangle is 180 degrees. Since WXY is an exterior angle, it is equal to the sum of the two opposite interior angles. Therefore, we can say that ∠1 = ∠2 + ∠3. This means that the correct statement that completes the proof in line 2 is option A) ∠1 = ∠2 + ∠3.