Question

if one angle of triangle is equal to sum of other two angles ,than show that triangle is right angle triangle.

Answer 1

heya!!

let the angles be x, y and z

x + y + z = 180


ACCORDING TO THE QUESTION!

x = y + z

x = 180 - x

2x = 180

x = 90°


So, given Trangle is a right angled trangle.


Have a nice time

Answer 2

Let In triangle ABC.

angle A + angle B = angle C

By property of triangle .

angle A +angle B+angle C= 180degre.

So by substituting the value of angle C

3angle C =180

SO angle C is equal to 90 degree.

So triangle ABC IS A RIGHT ANGLR TRIANGLE