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Sergeeva-Olga [200]
2 years ago
7

Can you guys help me

Mathematics
1 answer:
PIT_PIT [208]2 years ago
4 0

Answer:

m<1 = 140

Step-by-step explanation:

m<1 = 140 because of alternate interior angles

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The complete proof for the given parallelogram is given in the image attached below.

<h3>What is a Parallelogram?</h3>

A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.

The complete proof would be as shown below:

1. ABCD is a parallelogram [given]

2. AB║CD [Definition of parallelogram]

3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]

4. AB ≅ CD [Definition of parallelogram]

5.  ΔABE ≅ ΔCDE [ASA]

6. AE ≅ CE, BE ≅ DE [CPCTC]

7. AC and BD bisects each other at E [definition of segment bisector]

Learn more about parallelogram on:

brainly.com/question/3050890

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