## In a triangleABC, If angleA = 60°, angleB = 80º and the bisectors of angleB and angleC meet at O, Then angleBOC is​

Question

In a triangleABC, If angleA = 60°, angleB = 80º and the bisectors of angleB and angleC meet
at O, Then angleBOC is​

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3 weeks 2021-11-07T09:24:17+00:00 2 Answers 0 views 0

1. It is easy follow my steps

make a triangle roughly , then name the angle at left be angle c and angle at right be angle b also angle at top be angle a

Now draw two line from b/w angle b and c so they meet at a common point o

ans:

Given: angle a=60°

angle b=80°

To find: angle c and angle BOC

Solution: angle a+b+c =180°[angle sum property of triangle ]

60+80+c=180

c=180-140

c=40

therefore angle c =40

angle boc + angle bco + angle cbo = 180°(Angle sum property…..)

angle boc + 20 + 40 =180

angle boc = 180-60

angle boc = 120°

I have taken half values in above equation because ob or oc bisect both the angles into 2 equal halves

HOPE IT HELPS U……PLEASE MARK MEHAS BRAINLIEST…!!

even the word bisect means dividing an angle into 2 equal halves