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

2 answers:

8 0

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, <span>∠L ≅ ∠T</span>

evablogger [386]3 years ago

5 0

<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.

Sample answer on edgen. ^^^</span>

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Given:

$PQRS\sim TUVW$

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

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$PQRS\sim TUVW$

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