Question

AB is tha diameter of the circle , OC = DC and angle OBC = 70° . Then angle ODA = ?​

Answer 1

Answer:

The angle ODA is equal to 50°.

Step-by-step explanation:

In triangle OCD,

OC = OD also OC = CD as per the given question

Hence OC = CD = OD

Therefore, OCD is an equilateral triangle, in which all side are equal

Therefore ∠OCD = 60° as per equilateral rules

ABCD is a cyclic quadrilateral

Therefore, ∠ADC + ∠ABC = 180°

⇒∠ODA +∠ODC + 70° = 180°

⇒∠ODA + 60° + 70° = 180°

⇒∠ODA = 180° - 130° = 50°

Therefore, the angle ODA is equal to 50°.