Asked by lexi

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 A and H 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 A and G are congruent.
Angles A and H are congruent.

All Answers 1

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

Reason: AE ∥ GH and AC (or the appropriate transversal) makes ∠A and ∠G alternate interior (or corresponding) angles, so they are congruent. Using that with the given ∠A ≅ ∠H lets you relate the two angles at C formed by a line parallel to GH and conclude ∠C + ∠G + ∠H = 180°.