Page 3 - Activity 1 Angle on same segment Ch.10 Circle
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7. Take a pair of points R and S on the circle in the same segment and join RP,RQ, SQ and SP.
(see Fig. 24.5)
8. Now, taking replicas of the ∠PRQ and ∠PSQ. (see Fig. 24.6)
Demonstration
Put the cut outs of ∠PRQ and ∠PSQ on each other such that vertex R falls on vertex S (see Fig.
24.7). We find, ∠PRQ covers ∠PSQ completely, so ∠PRQ = ∠PSQ.
Observation
On actual measurement, we get
∠PRQ = ……… ,
∠PSQ = ……… ,
So, ∠PRQ = ∠PSQ.
Hence, the angles in the same segment are ……… .
