Question

do this correctly and I will make you the brainest​

Answer 1

Answer:

∠ODB = 52°

Step-by-step explanation:

Given --> ∠OCD = 52°

Now, we know that the diameter subtends a right angle anywhere in the circumference. So, ∠ CDB = 90°

Now, ∠OCD + ∠CDB + ∠DBC = 180° (Angle Sum Property of triangle)

=> 52° + 90° + ∠DBC = 180°

=> 142° + ∠DBC = 180°

∴ ∠DBC = 180° - 142° => 38°

OB = OD (radii)

∴ ∠DBC = ∠ODB = 52° (Angles opposite to equal sides are equal)