6.
(a) In the figure (1) given below, O is the centre of the circle. If angle BAD -30°, find the
values of p. q and r.
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By the theorem from class 9
we have,
The angle subtended by a chord at centre is double the angle subtended at any remaining part of the circle.
with this,
angle Q = 2(30) = 60°
and, angles in same segment are equal so,
angle R = 30°
and angle C = 1/2(reflex of angle Q)
angle C = 1/2(360 - 60)
angle C = 1/2( 300)
angle C = 150°
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