Question

In the given figure.angle A=54degree,BO and CO are the Bisecters of angle B and angle C .Find angle BOC

Answer 1

Answer:

angle BOC = 108.........

Answer 2

Answer:

117 DEGREE

Step-by-step explanation:

ABC is a triangle in which A=54°, bisectors of angles B and C meet at point O.

In triangle ABC

54°+B+C=180°. or. B+C=126

B0 is bisector of. angle B and CO is bisector of angle C . Thus

angle OBC=B/2. , angle. OCB = C/2.

In triangle OBC

angle BOC+ angle OBC. + angle OCB. =180°

angle BOC. +B/2 +C/2=180°

angle BOC = 180°- 1/2(B+C). Putting B+C=126° from eqn.(1)

angle BOC. = 180°-1/2(126°) = 180°-63°. = 117°.

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