Question

In the given figure ∠A=40°.If BO and CO are the bisectors of ∠B and ∠C respectively. Find the measure of ∠BOC.​

Answer 1

Answer:

In triangle ABC, applying angle sum property of triangles:

40° + 2x + 2y = 180°

2(x + y) = 140°

x + y = 70° ...(1)

Now,in triangle ABO,applying angle sum property of triangles:

x + y + z = 180°

from equation ... (1)

70° + z = 180°

z = 110°

Answer 2

Answer:

In triangle ABC, applying angle sum property of triangles:

40° + 2x + 2y = 180°

2(x + y) = 140°

x + y = 70° ...(1)

Now,in triangle ABO,applying angle sum property of triangles:

x + y + z = 180°

from equation ... (1)

70° + z = 180°

z = 110°