SOLUTION: The polygon below is a regular hexagon. Calculate the size of angle x, y, and z.
Note- the hexagon is divided into 2 triangles and a trapezoid.
X and z are the triangles wit
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-> SOLUTION: The polygon below is a regular hexagon. Calculate the size of angle x, y, and z.
Note- the hexagon is divided into 2 triangles and a trapezoid.
X and z are the triangles wit
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Question 1132124: The polygon below is a regular hexagon. Calculate the size of angle x, y, and z.
Note- the hexagon is divided into 2 triangles and a trapezoid.
X and z are the triangles within the hexagon while y is in the trapezoid. Found 2 solutions by Alan3354, greenestamps:Answer by Alan3354(69443) (Show Source):
According to your description, if the regular hexagon is ABCDEF, then it is divided into triangles ABC and ACD and trapezoid ADEF.
Each interior angle of the hexagon is 120 degrees.
In triangle ABC, angle B is 120 degrees, so each of angles BAC and BCA is 30 degrees.
In triangle ACD, angle ADC is 60 degrees (half of interior angle D) and angle CAD is 30 degrees (angle BAD is 60 degrees and angle BAC is 30 degrees). So angle ACD is 90 degrees.
In trapezoid ADEF, angles E and F are interior angles of the hexagon and so are 120 degrees; angles FAD and EDA are each 60 degrees (each is half an interior angle of the hexagon).
