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, AQ is a straight line and angle AOM=85^o.  The measure of angle MOP is

 

OPTIONS
A. 

85^o

B. 

10^o

C. 

20^o

D. 

42.5^o

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

As AM= PQ

Equal Chord subtend equal angle at the centre

angle POQ=angle AOM=85^o.

AS AQ is a straight line

angle QOP+ angle MOP + angle MOA=180^o.

85^0+ angle MOP + 85^0=180^o.

170^0+ angle MOP =180^o.

angle MOP =10^o.

 

 

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