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Quadrilateral PQRS, shown below, is a parallelogram. QS is a diagonal. PQ ║ SR and PS ║ QR.
The measure of ∠PQS is 58° degrees. What is the measure in degrees of ∠QSR?

Quadrilateral PQRS shown below is a parallelogram QS is a diagonal PQ SR and PS QR The measure of PQS is 58 degrees What is the measure in degrees of QSR class=

Respuesta :

vishalkothari3299

Step-by-step explanation:

angle pqs = angle qsr (alternate interior angles are equal in a parallelogram).

thus,

angle qsr = 58 degrees

Chandasmita

Answer:

  • 58°

[tex] \: [/tex]

Step-by-step explanation:

  • As, Quadrilateral PQRS is a parallelogram and PQ ║ SR and PS ║ QR where QS is the transversal

And, it is given that the measure of ∠PQS is 58°.

So,

[tex] \bf \qquad∠QSR = ∠PQS \\ \\ [/tex]

[tex] \bf \qquad \implies∠QSR = 58° \: \: [Alternate \: interior \: angles] \\ \\ [/tex]

Let's know something about Alternate interior angles :

  • If a transversal intersects two parallel lines, then each pair of alternate interior angle is equal

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