Q. 9

# If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.

Given bisector og the base angles of a triangle enclose an angle of 135o

i.e. BOC = 135o

But,

135o = 90o + A

A = 135o – 90o

A = 45o (2)

= 90o

Therefore, is right angled triangle right angled at A.

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