Question

If 1 angle of a triangle is equal to the sum of the other 2 angles prove that the triangle is a right angle triangle ​

Answer 1

Answer:

In triangle ABC

angleA=angleB+angleC

But

A+B+C=180 (angle sum property of triangle)

A+(B+C) =180

A+A=180

2A=180

A=90

SINCE THE ANGLE IS 90

THE TRIANGLE IS RIGHT ANGLED

Answer 2

Step-by-step explanation:

Let ,

1st angle be /_A

2nd angle be/_ B

3rd angle be/_ C

As we now that

Sum of all angles of triangle =180 degree

/_C+(/_B+/_A) = 180degree

/_C+/_C = 180degree

2/_C = 180degree

/_C = 180/2degree

/_C = 90degree

Hence, the triangle is right angles triangles