Question

SERIOUSLY NEED HELP!! PLEASE!!

PQRS is an inscribed quadrilateral whose diagonals intersect at T. Segment PQ is parallel to segment SR, as shown below.
*Prove that if angle SQP is 55° and angle QSP is 40°, then angle SPR is 30°. Write a two-column proof showing statements and reasons.

Answer 1

Does this help

Answer 2

one moment, I'm trying to see how to connect finding angle R with finding angle SPR

Answer 3

angle QSR is congruent to angle SQP since they are alternate interior angles

So angle QSR = 55

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Angles RQP and RSP add to 180 (since they are part of an inscribed quadrilateral)

So

RPQ + RSP = 180

RPQ + (55+40) = 180

RPQ + 95 = 180

RPQ = 180-95

RPQ = 85

So angle SQR is 30 degrees (since 85 - 55 = 30)

Answer 4

Ok thanks