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(20054) (Show Source):
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