Given: ∠A is a straight angle. ∠B is a straight angle.
We need to Prove: ∠A≅∠B.
We know straight angles are of measure 180°.
So, ∠A and <B both would be of 180°.
It is given that ∠A and ∠B are straight angles. This means that <u>both angles are of 180°</u> because of the <u>the definition of straight angles</u>. Using <u>the definition of equality</u>, m∠A=m∠B . Finally, ∠A≅∠B by <u>definition of congruent. </u>
6m² + 7m should be the answer
The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
<h3>How to prove a Parallelogram?</h3>
The six basic properties of parallelograms are primarily;
- Both pairs of opposite sides are parallel
- Both pairs of opposite sides are congruent
- Both pairs of opposite angles are congruent
- Diagonals bisect each other
- One angle is supplementary to both consecutive angles (same-side interior)
- One pair of opposite sides are congruent AND parallel.
Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ
Read more about Parallelogram Proof at; brainly.com/question/24056495
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