Please solve question no 8 with proper explanation 

Asked by adityaahuja099 | 28th Nov, 2017, 05:41: PM

Expert Answer:

begin mathsize 16px style Construction colon space Join space BC
angle BOC equals 130 degree
angle BAC equals angle BDC equals 1 half cross times 130 degree equals 65 degree space space space space space space space space Angle space inscribed space in space straight a space arc
Given space that space PB equals PC space also space angle PBO equals 25 degree
angle ABD equals angle ACD space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space Angles space inscribed space in space the space same space arc
BO equals OC space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space Radii space of space the space same space circle
angle OBC equals angle OCB................................ left parenthesis 1 right parenthesis space space Property space of space isosceles space triangle
In space increment OBC comma
angle OBC plus angle OCB plus angle BOC equals 180 degree space space space space space space space space
2 angle OBC plus 130 degree equals 180 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space From space left parenthesis 1 right parenthesis
angle OBC equals 25 degree space space space space space
In space increment PBC comma
angle PBO plus angle OBC plus angle PCO plus angle OCB plus angle BPC equals 180 degree
25 degree plus 25 degree plus 25 degree plus 25 degree plus angle BPC equals 180 degree
angle BPC equals 180 degree minus 100 degree
angle BPC equals 80 degree
angle APB plus angle BPC equals 180 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis Linear space pair right parenthesis
angle APB equals 100 degree
In space increment APB comma
angle BAP plus angle ABP plus angle APB equals 180 degree
angle ABP equals 15 degree
angle ABP plus angle DCP equals 15 degree plus 15 degree equals 30 degree
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
end style

Answered by Sneha shidid | 30th Nov, 2017, 09:45: AM