Q9 of 23 Page 274

In the given figure ‘O’ is the centre of the circle and AB, CD are equal chords. If ∠AOB = 70°. Find the angles of the ∆OCD.

We know “Angles subtended by equal chords at the center of a circle are equal”.


∠DOC = ∠AOB = 70


In OCD,


∠OCD + ∠ODC + ∠DOC = 180


x + x + 70 = 180


700 + 2x = 180


2x = 180-70


2x = 110


x =


x = 55


∠OCD = ∠ODC = 55


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