Lines and are parallel in the image below. the image will be used to prove that the sum of the measures of the interior angles of is 180°. which statement would be included in a proof of why ? angles f and h are congruent. angles c and e are congruent. angles a and g are congruent. angles f and c are congruent.

Answer

Angles F and C are congruent.

Explanation

First you have to know that angles in a straight line add up to 180°

∴ A+F+E = 180°

Also corresponding angles are equal.

∴ H = A

G = E

Direct opposite angles are equal. That is C = F. 

This means that Angles F and C are congruent.

With this prove, we can conclude that;

G+C+H = 180°

G, C, and H are interior angles and they add up to 180°

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