Question

if if one angle of a triangle is equal to the sum of other two show that the triangle is a right Triangle​

Answer 1

Step-by-step explanation:

let the angle be 'x'

the remaining angles be y and z.

then,

x=y+z

by angle sum property,

x+y+z=180°

since,y+z=x

then,

x+x=180°

2x=180°

x=180/2

x=90°

since ,one angle of the triangle is right-angle,it is a right-angled triangle

Answer 2

Answer:

Lets take the angles as x , y , 180-x-y

given ,

x = y + 180-x-y

  = 180 - x    [ +y , -y get cancelled ]

2x = 180°

x = 90 °

If any one angle of a triangle is 90° , then the triangle is called as a right angle triangle .

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