UPSKILL MATH PLUS

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From the figure, find the measure of the unknown angle \(x\) and state the theorem used in finding the same.
 
Prob 5 (iii).png
 
In the given figure, \(PQ\) is a line sement joining the points \(P\) and \(Q\).
 
1. The measure of \(\angle\)\(PSQ\) is
 
 
2. The theorem used in finding the unknown angle \(x\) is
 
Answer variants:
Angles in the same segment of a circle are equal
The angle subtended by an arc of the circle at the centre is double the angle subtended by it at any point on the remaining part of the circle
Equal arcs of a circle subtend equal angles at the centre
Angle inscribed in a semi-circle is a right angle