The measure of the vertex angle in an isosceles triangle is six less than four time the measure of the base angle. find the measure of the vertex angle
An isosceles triangle is a special type of triangle that has two equal sides. Consequently, the two base angles are also equal. Since the interior angles of a triangle should sum up to 180°, the general equation should be
180° = 2*Base angle + Vertex angle
Let the base angle be x. Thus, the vertex angle is equal to Vertex angle = 4x - 6 Substituting, 180 = 2x + 4x - 6 x = 31°
