Question

if bisector is base angle is a enclose at an angle of 135degree, prove that the is right angles

Answer 1

Answer:

Step-by-step explanation:

let the bisectors of the base angles B and C of trianle ABC meet at O.

given angle BOC = 135

In triangle BOC

OBC+BOC+OCB=180

1/2B+135+1/2C=180

1/2(B+C)=180-135=45

B+C=45*2=90-----i

In triangleABC

A+B+C=180

A=180-(B+C)

A=180-90=90

A=90

Therefore triangle ABC is an right triangle