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.
<span>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.