Question

find the value of x in the following diagram

Answer 1

and the answer is x= 55°

Answer 2

110 + ∠PQS = 180 (linear pair)
∠PQS = 90
125 + ∠PSR = 180 (linear pair)
∠PSR = 55
∠QPS + ∠PQS + ∠PSR = 180 (angle sum property)
∠QPS + 90 + 55 = 180
∠QPS = 35
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