IDNLearn.com makes it easy to find accurate answers to your questions. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

PLEASE HURRY !! Fill in the missing statement and reason in the proof of the corresponding angles theorem.

Segment AB is parallel to segment CD, and transversal EF intersects segment AB at G and segment CD at H.

It is given that segment AB is parallel to segment CD and points E, G, H, and F are collinear. The measure of ∠EGF is 180°, by the definition of a straight angle. ∠AGE and ∠AGF are adjacent, so the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠EGF, by the Angle Addition Postulate. Then, substituting for the measure of ∠EGF it can be said that the measure of ∠AGE plus the measure of ∠AGF equals 180°. ________, so the measure of ∠CHE plus the measure of ∠AGF equals 180°. Substituting once again means that the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠CHE plus the measure of ∠AGF. The measure of ∠AGE is equal to the measure of ∠CHE ________. Finally, by the definition of congruence, ∠AGE is congruent to ∠CHE.

∠CHE and ∠AGF are alternate interior angles; using the Addition Property of Equality

∠CHE and ∠AGF are alternate interior angles; using the Subtraction Property of Equality

∠CHE and ∠AGF are same-side interior angles; using the Subtraction Property of Equality

∠CHE and ∠AGF are same-side interior angles; using the Addition Property of Equality


PLEASE HURRY Fill In The Missing Statement And Reason In The Proof Of The Corresponding Angles Theorem Segment AB Is Parallel To Segment CD And Transversal EF I class=

Sagot :

The measure has same side interior addition property
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.