Question

In an isosceles triangle, the base angles are equal. The vertex angle is thrice either base angles. What are the angles of the triangle?​

Answer 1

Answer:

The angles are 36*, 36* and 108*.

Step-by-step explanation:

Let the base angles be 'x',

Total sum of angles = 180*

base angles = x and x

The vertex angle = 3x

Angles = x+x+3x = 180*

=> 2x+3x = 180*

=> 5x = 180*

=> x = 180/5 = 36*

Now simply substitute the values of x with 36*

=> base angle [x] = 36*

=> other base angle [x] = 36*

=> The vertex angle = 3x = 3*36= 108*

The angles ae 36* , 36* and 108*.

Hope this helps :)