Question

Two angles of a triangle are equal and third angle is greater than each of them by 18°. Find the angles.

Answer 1

Let the two equal angles be x

and the third angle be x+18

according to sum of angles of triangle

x+x+x+18=180

3x=180-18

3x=162

x=162/3

=54

x=54°

x+18=72°

Answer 2

let the angles are a° ,a° , and b° .

By given condition,

b=a+18-----------(1)

Now,

By Angle sun property of traingle,

a + a + b =180°

From (1)

2a +(a+18) =180

3a+18=180

a=162/3

a= 54°

From (1)

b =a +18

= 54+18

b= 72°

Answer :-

The given Angles are 54° , 54° and 72° .