SOLUTION: Sorry, tried to put the shape in, couldn’t work, only let print the words. The star shape has 8 lines of symmetry and is made by overlapping two squares. (couldn’t put the sha

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Sorry, tried to put the shape in, couldn’t work, only let print the words. The star shape has 8 lines of symmetry and is made by overlapping two squares. (couldn’t put the sha      Log On

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Question 1025946: Sorry, tried to put the shape in, couldn’t work, only let print the words.
The star shape has 8 lines of symmetry and is made by overlapping two squares.
(couldn’t put the shape into here)______________________
The shape can be split into 8 identical quadrilaterals that look like this:
(couldn’t put the shape into here)_____________________
What is the size of the largest angle in the quadrilateral, in degrees?
Teacher gave the answer: 225 , but couldn’t work it out the way. Thanks!

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I think this is what you are talking about:



If my diagram is what you meant, then you can point out to your teacher that it is impossible for two angles of a convex quadrilateral to both measure 225 degrees. The sum of the angles of any quadrilateral is 360 degrees, and 2 times 225 is 450. The sum of the two congruent largest angles is 225. Angle A is 90 because it is the vertex of a square. Angle C is 45 because it is 360 divided by 8. 90 plus 45 is 135. 360 minus 135 is 225. 225 divided by 2 is 112.5.

John

My calculator said it, I believe it, that settles it