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Lostsunrise [7]
4 years ago
6

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
2 answers:
meriva4 years ago
8 0

Answer:

Angles F and C are congruent.

Step-by-step explanation:

maw [93]4 years ago
7 0

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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