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(ii).png
 
In the given figure, \(O\) is the centre of the circle.
 
1. The measure of \(\angle\)\(QPR\) is
 
 
2. The theorem used in finding the unknown angle \(x\) is
 
Answer variants:
Equal chords of a circle subtend equal angles at the centre
Angle inscribed in a semi-circle is a right angle
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
Angles in the same segment of a circle are equal