Construct an Equation
The base angle of an isosceles triangle is 'b' . The vertex angle is three times the base angle
Let us assume that the base angle of the isosceles triangle be ao, then the vertex angle will be 3ao.
As we know that the sum of three angles of a triangle equal to 180o.
a + a + 3a = 180
5a = 180
a = 180/5 = 36o.
Since the base angles are equal, then the base angles are 36o each, the vertex angle will be 3 x 36o =108 o.
Ans: Base angles: 36o each Vertex angle: 108o.