Question

o is the orthocente of ABC if angle BAC=40 degree then find angle BOC

Answer 1

Answer:

180 degree is answer is correct

Answer 2

Step-by-step explanation:

Question:-

O is the orthocente of ABC if angle BAC=40 degree then find angle BOC

Answer:-

Given:-

• ∠ BAC = 40°

To find:-

• Angle of BOC

Solution:-

Incentre is defined as Intersection of angle bisectors of vertices of a triangle.

=> AF, BE, CD are angle bisectors.

=> ∠BAF =∠FAC=20

=> Let ∠ABE =∠FBE = x

=> Let ∠BCD =∠ACD = y

Now,

using the exterior angle property of a triangle, ∠FOC= 20 + y and ∠BOF= 20 + x

in triangle BOC, using the property that sum of all angles of triangle is 180, we can say that

20 + y + 20 + x + x + y = 180

=> x + y = 70

∠BOC = 20 + y + 20 + x

=》 110 (ans)