in an isosceles triangle the base angles are equal and the vertex angle is twice of each base angle . find the measures of the angles of the triangle..[linear equation]
Let us assume that the base angle of the isosceles triangle be ao, then the vertex angle will be 2ao.
As we know that the sum of three angles of a triangle equal to 180o.
a + a + 2a = 180
4a = 180
a = 180/4 = 45o.
Since the base angles are equal, then the base angles are 45o each, the vertex angle will be 2 x 45o = 90o.
Ans: Base angles: 45o each Vertex angle: 90o.