SOLUTION: There is a shape which is made from a quarter-circle of a radius of 3cm and two equilateral traingles. Outside of this shape there is an angle x. How can I work out the angle x?

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Question 444392: There is a shape which is made from a quarter-circle of a radius of 3cm and two equilateral traingles. Outside of this shape there is an angle x. How can I work out the angle x?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
 

All the interior angles of all equilateral triangles 
have measure 60°

The angle in the quarter circle is 90°.

 
 
So the sum of the measures of all the marked angles
is 360°, so we have the equation:

     60° + 90° + 60° + x° = 360°

                210° + x° = 360°
 
                       x° = 150°

Edwin