Question

In the given figure, O is the centre of the circle and angle AOC is a diameter if angle BDC = 25° then angle BCA is of measure

Answer 1

Answer:

65

Step-by-step explanation:

Given In the given figure, O is the centre of the circle and angle AOC is a diameter if angle BDC = 25° then angle BCA is of measure

We know that at the centre angle subtended by a chord is twice the circumference.

 Angle BOC = 2 x BDC (by joining BO)

     = 2 x 25 = 50 degree

In triangle BOC

      OC = BO

Let OCB  = OBC = p

We know that

BOC + OCB + OBC = 180

50 + p + p = 180

  2 p = 180 - 50

  2 p = 130

  p = 65 degree

Answer 2

Answer:

answer is 65

Step-by-step explanation:

we know that :

= BOC + OCB + OBC = 180

= 50 + 2p = 180 - 50

= 180 - 50 = 130

= 130 ÷ 2

= p = 65 degree