Question

In the given figure oà and OB are opposite rays and ZAOC + ZBOD=90° then
find the value of ZCOD.
D
С
B
O
A​

Answer 1

Given : OA and OB are opposite rays and ∠AOC + ∠BOD= 90°  

To find :  ∠COD

Solution:

OA & OB are opposite rays

hence AB is straight line

∠AOC  +  ∠COD + ∠BOD = 180°

=> ∠AOC  + ∠BOD +  ∠COD  = 180°

∠AOC  + ∠BOD   = 90°  given

=> 90°  +  ∠COD  = 180°

=> ∠COD  = 90°  

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