Question

step by step pls remember ​

Answer 1

Answer: 50 degrees

Explanation:

Since OD, OA, OB and OC are the radius of the same circle we can say

OD = OA = OB = OC

⇒ ∠DAO = ∠ODA    (OA = OD)

⇒ ∠OAB = ∠ABO    (OA = OB)

Now from angle sum property of triangles:

∠DAO + ∠ODA + 90 = 180

⇒ 2∠DAO = 180 - 90 = 90

⇒ ∠DAO = 90/2 = 45

∠OAB = ∠DAB - ∠DAO = 70 - 45 = 25

∠OAB + ∠ABO + ∠AOB = 180

⇒ ∠AOB = 180 - 2∠OAB = 180 - 2×25 = 180 - 50

∠BOC = 180 - ∠AOB = 180 - (180 - 50) = 50

Hope my answer has helped. Take care :)