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Question

(C) According to the circle theorem,the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(C) According to the circle 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.Here,the arc $AB$ subtends $\angle APB$ at the centre $P$ and $\angle ACB$ at the remaining part of the circle.Therefore,$\angle APB = 2 \angle ACB$.Given that $\angle ACB = 50^{\circ}$.Substituting the value,we get $\angle APB = 2 	imes 50^{\circ} = 100^{\circ}$.Thus,the value of $\angle APB$ is $100^{\circ}$.

$AB$ is a chord of a circle with centre $P$. Point $C$ is a point other than $A$ and $B$ on the major arc $AB$. If $\angle ACB = 50^{\circ}$,then find $\angle APB$. (in $^{\circ}$)

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