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Step-by-step explanation:let angle CBO be angle 1
Twice angle 1 +angle ABC=180 [linear pair]
Twice angle 1=180-angle ABC
Angle 1=1/2(180-angle ABC)
Angle 1 =90°-1/2angle ABC -----(1)
Let angle bco be angle 2
Twice angle 2+angle acb=180 [linear pair]
Angle 2 =1/2(180-angle acb
Angle 2 = 90°-1/2angle acb -----(2)
Now adding --(1) &--(2)
Angle CBO+angle BCO+angle BOC=180° [angle sum property]
90°-1/2angle ABC+90°-1/2angle acb+BOC=180
180°-1/2(angle ABC+angle ACB)+BOC=180
-1/2(angle ABC+angle ACB)+BOC=180-180
BOC=1/2(angle B + angle C)
BOC=1/2(180-angle A) ......[a+b+c=180,b+c=180-a]
BOC=90°-1/2angle A
Hence,proved
Hope it helps u mate
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Answer:
Step-by-step explanation:
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