Lines AE and GH are parallel in the image below The image will be used to prove that the sum of the measures of the interior ang

Question

4 years ago

6

Lines AE and GH are parallel in the image below The image will be used to prove that the sum of the measures of the interior ang

les of CGH is 180
A. angles F and H are congruent
B. angles A and G are congruent
C. angles A and H are congruent
D. angles E and C are congruent

Mathematics

2 answers:

statuscvo [17] · Answer 1 · 2022-02-05T12:06:00+03:00

statuscvo [17]4 years ago

4 0

Here , angles A and H are corresponding angles . And in parallel lines, corresponding angles are congruent .

So A and H are congruent angles. Hence the correct option for the given question is C .

MAXImum [283] · Answer 2 · 2022-02-05T14:14:36+03:00

Answer: The answer is (C) angles A and H are congruent.

Step-by-step explanation: In the given figure, lines AE and GH are parallel. The image will be used to prove that the sum of the measures of the interior angles of CGH is 180°. We are to select the correct statement that will be included in the proof.

Since the lines AE and GH are parallel and AH is a transversal, so we have

∠A ≅ ∠H, because these are the corresponding angles.

The rest of the three statements cannot be concluded from the given information.

Hence, (C) is the correct option.