in a triangle abc ,bo and co are the internally bisectors of angle abc and angle abc meet at point o prove that boc =90degree+1/2of angle A
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IN TRIANGLE ABC
angle A +angle B +angle C =180
We have angle A =60
Therefore angle C +angle B =180-60= 120
Now we have bisectors of angle C and angle B
Therefore if angle B and angle C measures 180
Their bisector would measure half of them
Because angle bisector =total angle /2
Therefore angle OBC and angle OCB would measure
120/2=60
Now in triangle angle BOC, angle OBC, angle OCB would measure 180
Angle BOC =180 - (angle OBC and angle OCB)
(angle OBC and angle OCB)=60
Angle BOC =180-60
= 120
angle A +angle B +angle C =180
We have angle A =60
Therefore angle C +angle B =180-60= 120
Now we have bisectors of angle C and angle B
Therefore if angle B and angle C measures 180
Their bisector would measure half of them
Because angle bisector =total angle /2
Therefore angle OBC and angle OCB would measure
120/2=60
Now in triangle angle BOC, angle OBC, angle OCB would measure 180
Angle BOC =180 - (angle OBC and angle OCB)
(angle OBC and angle OCB)=60
Angle BOC =180-60
= 120
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