Maths / Circles / Equal Chords of a Circle Subtend Equal Angle at the Centre

QUESTION

 In the given figure, O is the centre of the circle, $AM=PQ\;and \; \angle POQ=45^o.$ The measure of $\angle AOM$ is

 OPTIONS A. $45^o$ B. $90^o$ C. $22\frac {1^o}{2}$ D. $60^o$
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

As $AM=PQ \; and \; \angle POQ=45^o.$

Equal Chord subtend equal angle at the centre

$\angle AOM = 45^0$

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