Question

ghlj and gstu are both parallelograms. why is ∠l≅∠t?

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite angles are congruent.

Step2: Identify opposite - angles in GHLJ

In parallelogram GHLJ, ∠L is opposite to ∠G.

Step3: Identify opposite - angles in GSTU

In parallelogram GSTU, ∠T is opposite to ∠G.

Step4: Use transitive property

Since ∠L = ∠G and ∠T = ∠G, by the transitive property of congruence, ∠L≅∠T.

Answer:

In parallelograms, opposite angles are congruent. ∠L and ∠T are both opposite to the same angle ∠G in the respective parallelograms, so ∠L≅∠T by the transitive property of congruence.