The ratio of the vertex angle to either of the base angles in an isosceles triangle is 5: 2. determine the measure of the vertex angle. show how you arrived at your answer

100 degrees.

Step-by-step explanation:

The total representation of the triangle's base angles is 5:2:2.

The amount that has to be multiplied by is x for each of the angles.

5x + 2x + 2x = 180     Add the like terms

9x = 180                     Divide by 9

x = 180/9                    Divide

x = 20

The angles are

Vertex angle = 5*20 = 100

One of the equal angles = 2*20 = 40

The other equal angle = 2 * 20 = 40

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)