Prove that if one angle of a triangle is equal to the sum of the other two angles, then the triangle is right angled
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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)]
2B = 180°
B = 180°/2 = 90°
Now ,here B =90° it means ABC is a right angled triangle
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