In a circle with center O, point A, B, C, and D in this…

In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
John was an artist (1)______ profession. He was very (2)______ at his work and could
(3)______ any subject he could think of, but circumstances forced him to (4)______ in
(5)______ the work of renowned artists.

In a circle with center O, point A, B, C, and D in this order are concyclic such that BD is the diameter of the circle. If ∠ BAC = 22°, then find the measures (in degrees ) of ∠ COD.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 136

The points A, B, C, and D in this order are concyclic.

BD is the diameter.

∠BAC = 22^o

Since, the points A, B, C, and D in this order are concyclic, AC has to pass through the center O.

OA = OB = Radius of the circle

From ΔOBA -

∠OBA = ∠OAB = 22^o (As, OA = OB)

∠BOA = 180^o - (22^o + 22^o) = 136^o (Angle sum property of triangle)

∠BOA and ∠COD are opposite angles.

Thus, ∠COD = 136^o

SSC CGL 2021 PYQ — Question 70