Question

prove that if one angle of triangle is equal to the sum of other two angles the triangle is right angled

Answer 1

let one angle be x° equal to the sum of other angles a° and b°
then x°+a°+b°=180°. (angle sum property)
x°+x°=180°
2x°=180°
x°=90°

HENCE PROVED


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Answer 2

Answer:

Sol: Given - B = A+C ------(1)

In ABC ,By Angle Sum Property of Triangle,

A +B+C = 180°

B + (A+C) = 180°

B + B = 180° [From equation (1)]

2B = 180°

B = 180°/2 = 90°

Now ,here B =90° it means ABC is a right angled triangle