Question

Given: EFGL and LGJI are parallelograms Prove: Angle E = Angle I

Answer 1

In order to prove that ∠E = ∠I, we can use the following statements and reasons:

1. Statement: ∠E = ∠FGL

Reason: Opposite angles in a parallelogram are congruent

2. Statement: ∠FGL = ∠KLG

Reason: Alternate interior angles

3. Statement: ∠KLG = ∠I

Reason: Opposite angles in a parallelogram are congruent

4. Statement: ∠E = ∠I

Reason: Transitive property of the equality (∠E = ∠FGL, ∠FGL = ∠KLG and ∠KLG = ∠I, so ∠E = ∠I)