Question

An angle of a triangle is equal to the sum of the other two angles. Also, one of the angles is one-third of the largest angle, find the angles of the triangle.​

Answer 1

Answer:

Let the largest angle be 'a' and smallest be 'c'

a+b+c = 180 [sum property of angles of a traingle]

Given, a =  (b+c)

c = 1/4 a

a = b + a/4

a - a/4 = b

b = 3a/4

a + 3a/4 + a/4 = 180

a + a = 180

2a = 180

a = 90

b = 3a/4 = 67.5  

c = a/4 = 22.5

Hence angles are 90 , 67.5 , 22.5

Hope it helps.

Step-by-step explanation: