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 ∠G are opposite in GHLJ, ∠T and ∠G are opposite in GSTU. By the transitive property of congruence, ∠L ≅ ∠T.