Question

If one angle of a triangle is equal to the sum of other two, show that the triangle is a right triangle.​

Answer 1

let a b and c be the three angles of the triangle

if a + b ^ c the using equation 1 we get

c + c ^ 180 degree = c ^ 180/2

c^90

similarly we get a ^ 90 and b ^ 90

each anglel of triangle is less than 90 degree hence it is an acute angle triangle