Ian drew this example of a five-pointed star. He wants to create a computer program to draw five-pointed stars in general. To do this, he needs to know about the relationships between the internal acute angles at the points of the star. What is the sum of the angles at its five points (in degrees)? Justify your answer.

Respuesta :

The sum of the angles at its five points is 900 degrees.

Geometry

Since Ian drew a five-pointed star, to determine what is the sum of the angles at its five points in degrees, the following calculation must be performed:

  • Five pointed star = 5 triangles
  • 1 triangle = 180 degrees in its interior angles
  • 180 x 5 = 900

Therefore, the sum of the angles at its five points is 900 degrees.

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