Question 118612


  The measure of a base angle of an isosceles triangle is 4 times the measure of the vertex angle. Find the measure of the vertex angle

        Let the measure of the vertex angle be = x

            the measure of the base angles will be = 4x

            sum of the angles of a triangle = 180

                                    x+4x+4x = 180

                                          9x =180

                                           x  = 180/9 = 20 deg
              therefore the angles of the triangle are 20 deg ,80 deg &80 deg.