Stellar angles
Weekly Problem 30 - 2013
What is the angle $x$ in the star shape shown?
What is the angle $x$ in the star shape shown?
Problem
Image
What is the value of $x$ in the diagram?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Student Solutions
The four marked angles are the interior angles of a quadrilateral.
Hence $x = 360 - (105 + 115 + 125) = 15$