Question

6. If one angle of a triangle is equal to the sum of other two, show that the triangle is a right
triangle.
Hint. ZA= ZB+ 2C = ZA+ZA = ZA+ZB+ 2C = 180°​

Answer 1

Answer:

let the 3 Angles be X,Y,Z

given; X = Y+Z -(1)

we know that; X+Y+Z=180° -(2)

From 1 and 2

X+Y+Z=180°

X+X=180

2X=180

X=90°

if one angle is 90° it is a right triangle

Hope it helps you.......

Answer 2

Answer:

let one angle =x

other angle =y

and,

third angle =z

A.T.Q,

x=y+z

,in triangle,x+y+z=180

x=180-(y+z)

EQ. both,,

y+z=180-y-z

2y+2z=180

y+z=180/2

y+z=90

hence. x=180-90

= 90

Hence..it is a right angled triangle..