Q. 35.0( 1 Vote )

In each problem b

Answer :

Theorem:


The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.


(i) In the circle, let us draw a minor arc PR, which subtends an angle POR = 160° at the centre. Then, from the theorem, the angle at any other part will be



(ii) Here, AB is the major arc. It subtends an 220° at the centre, then, in its minor segment, the angle at any point will be half of 220°



(iii) The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.



From the figure (i), (ii) and (iii), APB = 1/2 AOB


(iv) Draw an angle 144° at the centre. Then, all angles on one part, one and a half times the angles on the other.



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