Question

solve it and explain why pq is parallel to st ​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

In ΔSQR,

∠ QST + 28°  =  65°              (Exterior angle property)

∠ QST  =  37°

∠ QSR + y  =  ∠ QPS                         (Sorry, Don't remeber the theorem

                                                                                                           for this)

37° + y  =  90°

y  =  53°

x  =  ∠ QSR                 (Alternate interior angles)

x  = 37°

As the parallel line is extended it will be equal to its corresponding parallel line.

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