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Step-by-step explanation:
Q1. let angle OBC be x and angle OCB be y
A+B+C = 180
2x + 2y + A = 180
A= 180 - 2x -2y
A/2 = 90 - x - y
A/2 - 90 = -x - y ----------(1)
OBC+OCB + BOC = 180
x+y+BOC = 180
BOC = 180-x-y
BOC = 180 + A/2 -90 ----------(From 1)
Thus, Angle BOC = 90 + Angle A/2
Q2. let angle OBC be x and angle OCB be y
2x = A+C ------(1)
2y = A+B ------(2)
2x + 2y = A + A + B + C
2x + 2y = A + 180
x + y = A/2 + 90 --------(3)
OBC+ OCB + BOC = 180
x + y + BOC = 180
A/2 + 90+ BOC = 180
BOC = 180 - A/2 - 90
Thus, Angle BOC = 90 - Angle A/2
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