I need answer y

Asked by class9abhinava.ydws | 30th Sep, 2020, 07:15: PM

Expert Answer:

Extend RO till T
Now, ∠ROS + ∠SOT = 180o ... (Linear pair of angles) (i)
Also, ∠ROQ + ∠QOP + ∠POT = 180o ... (Linear pair of angles) (ii)
Adding (i) and (ii), we get
 
∠ROS + ∠SOT + ∠ROQ + ∠QOP + ∠POT = 180o + 180o
 
∠ROS + ∠SOT + ∠POT + ∠ROQ + ∠QOP = 360o
 
∠ROS + ∠SOP + ∠ROQ + ∠QOP = 360o 

Answered by Renu Varma | 2nd Oct, 2020, 07:52: PM