Question

in figure, OA, OB are opposite rays and angle AOC + angle SOD = 90 degree find angle COD

Answer 1

hey mate!!

angle AOC +cod+dob=180

90+angle cod=180. ( as sum of angles AOC and dob is 90)

angle cod =180-90
angle cod=90


hope it helps!!

Answer 2

Answer with step-by-step-explanation:

Since OA and OB are opposite rays. Therefore, AB is a line. Since ray OC stands on line AB.

Hence, ∠AOC + ∠COB = 180° _______[Linear Pairs]

=> ∠AOC + ∠COD + ∠BOD = 180°_________[Since, ∠COB = ∠COD + ∠BOD]

=> (∠AOC + ∠BOD) + ∠COD = 180°

=> 90° + ∠COD = 180°___________[Since, ∠AOC + ∠BOD = 90°]

=> ∠COD = 180° - 90° = 90°

( Refer to the attachment )