Question

two angles of a triangle are equal and the third angle is three times each equal angle the largest angle of the triangle measures what​

Answer 1

let us say angles are x x and 3x in degree

x+x+3x=180 (asp of triangle)

5x=180

x=180/5°=36°

Largest angle=(36°)*3=108° or 108pi/180 radians

Answer 2

GIVEN

Let the equal angles measure = x°

The third angle = 3x°

TO FIND :- The largest angle

SOLUTION :-

We know sum of all angles of a Triangle is 180°.

Therefore,

x + x + 3x = 180°

=> 5x = 180°

=> x = 36°

Now, equal angles of the Triangle is 36°

Largest angle = 3x

= 36 × 3

= 108° [ANS]

VERIFICATION:-

Sum of all angles

= 108 + 36 + 36

= 180°

Hence, our answer is correct !