Question

please i need help proving the statement that's it . I know the other statements and reasons. I just don't know how to prove that one.

Answer 1

make use of the corresponding angles theorem and the transitive property

Explanation:

In the given diagram, you want to prove ∠GJI≅∠LKF.

Statement . . . . Reason

2. ∠GJI≅∠CLH . . . . corresponding angles are congruent

3. ∠CLH≅∠LKF . . . . corresponding angles are congruent

4. ∠GJI≅∠LKF . . . . transitive property of congruence

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Additional comment

The transitive property tells you ...

if A≅B and B≅C, then A≅C.