Calculating angle QRS.
Let it be x.
a = 45-32
a = 23°
a is ang SPQ.
b = 90-a
b = 90-23
b = 67°
b is angle PQS.
c = b-45
c = 67-45
c = 22°
c is angle RQS.
d = 180-45
d = 135°
d is angle QSR.
It implies, thec- required angle QRS (x) is;
x = 180-c-d
x = 180-22-135
x = 23°
Or
A smart approach is;
Angle QPS = Angle QRS = 23°
They are angles at the same segment of the circle.
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