Ghlj and gstu are both parallelograms why is angle l= angle t

Since both GSTU and GHLJ are parallelograms, GU and ST must be parallel, and GJ and HL must be parallel. Since GU is parallel to GJ, we deduce that ST and HL are parallel.

The same goes for GS, UT, GH and JL.

So, ST and HL are two parallel lines, cut by two parallel lines UT and JL. So, whenever the lines meet, they form the same angles.

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.

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