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 given parallelograms

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

Step3: Use transitive property

Since ∠L≅∠G and ∠T≅∠G, by the transitive property of congruence (if a = b and b = c, then a = c), ∠L≅∠T.

Answer:

Because opposite angles of parallelograms are congruent and by the transitive property of congruence.