Question

two equal chord AB and CD of a circle with centre P don't intersect each other. If acb = 50 find cpd​

Answer 1

If acb= 50 =>
apb= 100 (angle sub tended at centre is twice of that subtended on circumference)
apb= cpd (equal chords subtend equal angles at centre)
Ans: cpd= 100

Answer 2

Answer : 100 degree

Method:

1. Angle ACB = 50 Degree ( Given)
2. Thus, Angle APB = 100 ( By theorem 10.8)(angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle)
3. So, Angle APB=Angle CPD(by theorem 10.1)(equal chords of a circle subtend equal angles at the centre)
4. So, Angle CPD = 100 Degree