Fill in the missing statement and a reason in the proof of the corresponding angles theorem "It is given that AB is parallel to 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 I 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 pulse 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."

1.  ∠CHE and ∠AGF are same-side interior angles

2.  using the Subtraction Property of Equality

Step-by-step explanation:

Same-side interior angles are those angles that are formed as a result of a transversal line intersecting two or more lines. It is worthy of note that if the lines that are being intersected by the transversal are parallel we would get interior angles that are on the same side which are supplementary or when summed up is equal to 180 degrees.

for this question what we need to fill on both blank spaces are

∠CHE and ∠AGF are same-side interior angles, so the measure of CHE pulse the measure of AGF. The measure of AGE is equal to the measure of CHE using the Subtraction Property of Equality. Finally by the definition of congruence, AGE is congruent to CHE.

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