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Question

In the given figure, chords AB and CD are equal. if OCD=60° and AOB=70°, then ODC= .

A
40°
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B
60°
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C
70°
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D
50°
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Solution

The correct option is D 50°

Given that AB = CD,
OCD=60° and AOB=70°.
In the given figure AB and CD are the equal chords.
We know that, equal chords subtend equal angles at the center.
AOB=COD=70
In OCD
OCD+COD+ODC=180° ..... (Angle sum property)
60° + 70° + ODC = 180°
ODC=180°(60°+70°)=50°
Hence, ODC=50°


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