5th ques

Asked by lovemaan5500 | 26th Dec, 2017, 12:38: PM

Expert Answer:

 
 
begin mathsize 16px style Consider comma space arc space PR space with space centre space straight O
PR space subtends space angle POR space at space the space centre space and space angle PTR space at space the space remaining space part space of space the space circle.
angle POR equals 2 angle PQR.......... left parenthesis 1 right parenthesis
Similarly space arc space QS space subtends space angle QOS space and space angle QRS space at space the space remaining space parts space of space the space circle.
angle QOS equals 2 angle QRS......... left parenthesis 2 right parenthesis
Adding space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis
angle POR plus angle QOS equals 2 angle PQR plus 2 angle QRS
angle POR plus angle QOS equals 2 open parentheses angle PQR plus angle QRS close parentheses
angle POR plus angle QOS equals 2 angle PTR end stylebegin mathsize 16px style Consider comma space arc space PR space with space centre space straight O
PR space subtends space angle POR space at space the space centre space and space angle PTR space at space the space remaining space part space of space the space circle.
angle POR equals 2 angle PQR.......... left parenthesis 1 right parenthesis
Similarly space arc space QS space subtends space angle QOS space and space angle QRS space at space the space remaining space parts space of space the space circle.
angle QOS equals 2 angle QRS......... left parenthesis 2 right parenthesis
Adding space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis
angle POR plus angle QOS equals 2 angle PQR plus 2 angle QRS
angle POR plus angle QOS equals 2 open parentheses angle PQR plus angle QRS close parentheses
angle POR plus angle QOS equals 2 angle PTR end style

Answered by Sneha shidid | 27th Dec, 2017, 04:55: PM