Question

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

Answer 1

Let the three angles be x,y and z.

AS per question, x=y+z

x+y+z=180

y+z+y+z=180

2(y+z)=180

y+z=90

Since y+z=90, x=90

Therefore, the triangle is right angled.

Answer 2

Answer:

see the attachment for your answer please