Question

GHLJ and GSTU are both parallelograms. Why is ∠L ≅ ∠T?

Answer 1

Given parallelograms GHLJ and GSTU such the parallelogram GSTU is inscribed inside parallelogram GHLJ with angle G coinciding on the two parallelograms.

Recall that a property of parralogram states that the opposite angles of a parallelogram are congruent.

Thus, angle G is congruent to angle T and angle L.

Therefore, ∠L ≅ ∠T

Answer 2

By the parallelogram angle theorem, opposite angles of a parallelogram are congruent. Therefore, angle T must be congruent to angle G, and angle G must be congruent to angle L. By the transitive property of congruence, angle T is congruent to angle L.

Sample answer on edgen. ^^^