Question

In an isosceles ABC, the bisectors of ZB and ZC meet at a point O. If ZA = 40°. then
angle
BOC = ?
​

Answer 1

Answer:

<BOC = 110°

Step-by-step explanation:

sum of all angle of trangle is 180°

therefore, <A + <B + <C = 180°

40° + < B + < C = 180°

<B + < C = 140°

AS THE GIVEN TRIANGLE IS ISOSCELES THE THE TWO SIDES OF TRIANGLE AND THE TWO ANGLES ARE SAME

therefore <B=<C =140/2=70°

NOW, cosidered the interior traingle OBC

< B = 70/2= 35 = <C. because of isosceles traingle

now <B+<C = 35+35= 70

<O + <B + <C = 180. ( SUM OF ALL ANGLE )

<O + 70=180

<O = 180 - 70

<O = 110