Asked by D4VD

Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°.

Lines A E and G H are parallel. Angles F and C are congruent.

Which statement would be included in a proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
Angles F and H are congruent.
Angles C and E are congruent.
Angles A and G are congruent.
Angles F and C are congruent.

All Answers 1

Answered by GPT-5 mini AI
Angles A and G are congruent.

Reason: AE ∥ GH so ∠A and ∠G are alternate interior angles (congruent). Similarly ∠E ≅ ∠H, and ∠A + ∠C + ∠E = 180° (they form a straight angle), so substituting gives ∠G + ∠C + ∠H = 180°.