Question

in fig lines AB and CD intersect each other at O if angle AOC+angle BOC is 80 then find angle BOP angle COP and reflex COP​

Answer 1

Ab is a line

BOD is 50degree

BOD+AOD=180(LINEAR PAIR)

50+AOD=180

AOD=180-50

AOD=130DEGREE

angle AOD=angleCOB(vertically opp angle)

so, angle COB =130 degree

and angle AOC is vertically opp to angle DOB

so angle AOC=50 degree

if angle AOC + angle BOP is 80 degee

therefore,angle BOP is 30 degree

AOC+COP+BOP=180 (linear pair)

50+cop+30=180

80+COP=180

COP=180-80

COP=100 DEGREE

I HOPE IT IS HEPLFULL