Maths / Circles / Angles in the Same Segment are Equal

QUESTION

 Find  $\angle AOB,$ if in the figure given above, $\angle AEB+\angle ACB+\angle ADB=3x.$

 OPTIONS A. $\frac {3x}{2}$ B. $x$ C. $\frac {x}{2}$ D. 2x
Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

$\angle AEB =\angle ACB=\angle ADB$

As angles in the same segment are equal

$\angle ACB+\angle ACB+\angle ACB=3x.$

$3\angle ACB=3x.$

$\angle ACB=x.$

$\angle AOB= 2\angle ACB=2x.$

angle at the centre is double the angle at the circumference

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