BRIANILEST!!!! Lines and are parallel in the image below. The image will be used to prove that the sum of the measures of the in

Question

2 years ago

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BRIANILEST!!!! Lines and are parallel in the image below. The image will be used to prove that the sum of the measures of the in

terior 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.

Mathematics

1 answer:

dsp73 · Answer 1 · 2022-05-20T01:37:42+03:00

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°