A regular hexagon and a regular octagon share a side,

What is the measure of x, the angle between a side of the hexagon and a side of the octagon?
Answer

Question

A regular hexagon and a regular octagon share a side,

What is the measure of x, the angle between a side of the hexagon and a side of the octagon?
 Answer

mathstudent55 · Answer

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You mean the angle the arrow is pointing to?

mathstudent55 · Answer

|dw:1354427018774:dw|

mathstudent55 · Answer

In a regular polygon of n sides, the sum of the measures of teh interior angles is
(n - 2)180.
For an octagon it's (8 - 2)180 = 1800
Since it has 8 congruent interior angles, each measures 1080/8 = 135 deg
That's the measure of a above. With that you can find b.
Now do the same calculations for a hexagon and you get d with which you can calculate c. Then add b and c.

anonymous · Answer

@mathstudent55 Where did you get 1800 from?