MCQ
In the figure, if $\ce{\angle DAB=60^{\circ}, \angle ABD}=50^{\circ}$, then $\ce{\angle ACB}$ is equal to :
Image
  • A
    $80^{\circ}$
  • B
    $60^{\circ}$
  • C
    $50^{\circ}$
  • $70^{\circ}$

Answer

Correct option: D.
$70^{\circ}$
Image
In, $\ce{\triangle ABD}$
$\angle D=180^{\circ}-\angle A-\angle B$
$=180^{\circ}-110^{\circ}$
$=70^{\circ}$
Since angles made by same chord at any point of circumference are equal.
so, $\ce{\angle ACB=\angle ADB}=70^{\circ}$

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