colorful illustration of a large number twenty surrounded by christmas trees and stars
20
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Christmas Stars

Points A, B, C, D and E form the vertices of a regular pentagon. We connect A to C and D; B to D and E and also C to E. This creates a star with 5 star points.

Challenger

Calculate the sum of the angles of these 5 star points. Round your answer to the nearest whole number.

Mastermind

On the sides of a square with a perimeter of 34, we mark 17 points, such that the distance between each pair of adjacent points (measured along the side) is 2. We connect each of these points to the point 7 steps counterclockwise and the point 7 steps clockwise. This create a star with 17 star points.

Calculate the sum of the angles of these 17 star points. Round your answer to the nearest whole number. If this sum depends on the position of the 17 points on the square, answer 0.