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

When the opposite sides of a quadrilateral are parallel to each other then the figure is called a parallelogram. Thus,  ∠L ≅ ∠T

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 a parallelogram states that the opposite angles of a parallelogram are equal.

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

Therefore, ∠L ≅ ∠T

To know more about the parallelogram, please refer to the link:

https://brainly.com/question/9680084