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.”