Question

in triangle abc the bisectors of Angle B and angle C intersect at I if angle a is equal to 70 degree then find angle bic​

Answer 1

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Answer 2

Answer:

∠125°

Step-by-step explanation:

Given details:

Triangle ABC has ∠A = 70°

Bisectors of ∠B and ∠C intersect at I.

To find: ∠BIC

Solution:

According to the law of triangles, we know that the sum of the three angles of a triangle is always equal to 180°.

So,

∠A + ∠B + ∠C = 180°.

∠B + ∠C = 180° - 70° = 110°  ---(1)

In triangle BIC,

∠B/2 + ∠BIC + ∠C/2 = 180°

∠B + ∠C + 2∠BIC = 360°

By substituting equation (1) in above equation, we get,

2∠BIC = 360° - 110° = 250°

Therefore, ∠BIC = 250° /2 = 125°