Question

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

Answer 1

Answer:

Step-by-step explanation:

first take an angle to be x and it is giving energy that it is equal to its other two angle take them to be y and z by using angle sum property of triangle.

x +y+z=180

x+x=180 (y+z=x)

2x=180

x=180/2

x=90

hence proved

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