Question

Q15 lines and angles do step by step will marked as brainliest

Answer 1

Answer:

Step-by-step explanation:

Ray BO is the bisector of angle CBP

Therefore,angle CBO = 1/2of angle CBP

= 1/2(180-y)

= 90-y/2 .........(1)

Similarly, ray OC is the bisector of angle BCQ

Therefore,angle BCO = 1/2 of angle BCQ

= 1/2(180-z)

= 90-z/2 ............(2)

In triangle BOC, angle BOC+BCO+CBO = 180 ........(3)

Substituting (1,2,3) you get

Angle BOC+90-z/2+90-y/2 = 180

Angle BOC = z/2+y/2

= 1/2(y+z)

But,x+y+z=180 (angle sum property)

y+z=180-x

Angle BOC=1/2(180-x)

= 90 - x/2