Q. 184.6( 26 Votes )

In Fig., if PQ <s

Answer :

To Find: Values of x and y


Given: PQ is perpendicular to PS, PQ parallel SR


SQR = 28o


And, QRT = 65o


Now according to the question,


x + SQR = QRT (Alternate angles are equal as QR is transversal)


x + 28o = 65o


x = 37o


Now, in Δ PQS, Sum of interior angles of a triangle = 180°


PQS + PSQ + QPS = 180°


Therefore,


y + 37° + 90° = 180°


y = 53°


So, x = 37° and y = 53°


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