Question

In an isosceles ∆ABC, the bisectors of angle B & angle C meet at a point O.If angle A = 80°, then angle BOC = _________. ​

Answer 1

Answer:

130°

Step-by-step explanation:

given

angle A=80°

to find

angle BOC

sol=A+B+C=180°[angle sum property]

80°+angleB+angleC=180°

angleB+angleC=180°-80°

angleB/2+angleC/2=100°/2=50°

angleOBC+angleOCB=50°

thus in∆OBC

angleOBC+angleOCB+angleBOC=180°

angleBOC=180°-50°=130°

hence angleBOC=130°