Question

in triangle abc the bisector of Angle B and angle C intersect at O if angle is equal to 90 degree then find angle b i c​

Answer 1

Answer:

45 degree this question answer

Answer 2

$\angle BIC=135^{\circ}$

Step-by-step explanation:

In triangle ABC

Angle A=90 degrees

$\angle A+\angle B+\angle C=180^{\circ}$

Using triangle angles sum property

Substitute the value

$\angle B+\angle C+90=180$

$\angle B+\angle C=180-90=90$

Angle bisector of angle B and angle C are meet at point I

In triangle BIC

$\frac{1}{2}\angle B+\frac{1}{2}\angle C+\angle BIC=180^{\circ}$

Using triangle angles sum property

$\frac{1}{2}(\angle B+\angle C)+\angle BIC=180$

$\frac{1}{2}\times 90+\angle BIC=180$

$45+\angle BIC=180$

$\angle BIC=180-45$

$\angle BIC=135^{\circ}$

#Learns more:

https://brainly.in/question/7840421:answered by Guptasingh