Question

prove that if one angle of a triangle is equal to the sum of other two triangle then the triangle is right angle

Answer 1

Let the larger angle be= a
small angles be = b, c

1. a= b+c
a+b+c=180°
acc to eq 1

2(c+b) = 180°
c+b = 90°

c+b = a
therefore
one angle is 90° i.e a.
Hence proved.

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Answer 2

It is given one angle of a triangle is equal to the other two
let ,first angle as angle A ,second angle as angle B and third angle as angle C

According to the question,
angle A=angle B + angle C
we know that the sum of the angels of a triangle is 180°.
angle A+angle B +angle C=180°
angleA+angleA=180
angle 2A=180
angle A=180/2
=90
hence triangle is right angled.