Question

In an isosceles A ABC, the bisectors of B and 2C meet at a point o. If LA = 40°. then BOC.
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Answer 1

Answer:

Angle BOC will be 110°

Step-by-step explanation:

1. In an isosceles triangle 2 angles are equal so

A +B +C =180°{ angle sum prop.}

40°+ B +B= 180°{ since B= B}

40°+2 B = 180°

2b =180°-40°=140°

B=140°/2=79°

therefore, A=40°,B=C=70°

as CO bisecets C then OCB =35°.{ half of C}

and OBC=35°{ half of B}

OCB+OBC+BOC=180°

35°+35°+BOC=180°

70°+BOC=180°

BOC =180°-70°=110°

hope it's helpful..!!!