The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?

The measure of a base angle of one of the triangles is 54°

Step-by-step explanation:

In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles

∵ The total number of degrees in the center is 360°

∵ All five vertex angles meeting at the center are congruent

→ To find the measure of each vertex divide 360° by 5

∴ The measure of each vertex = 360° ÷ 5

∴ The measure of each vertex = 72°

∵ The base angles are equal in the isosceles triangle

∵ The sum of the measures of the angles of a triangle is 180°

→ Assume that the measure of each base angle is x

∴ x + x + 72° = 180°

∴ 2x + 72° = 180°

→ Subtract 72 from both sides

∵ 2x + 72 - 72 = 180 - 72

∴ 2x = 108

→ Divide both sides by 2 to find x

∴ x = 54

∴ The measure of each base angle = 54°

∴ The measure of a base angle of one of the triangles is 54°

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

his chances of getting a coin of higher value is 4/19

step-by-step explanation: