SOLUTION: The top surface of a picnic table is in the shape of a regular hexagon. A hexagon appears to have equal length sides. One interior angle is labeled with a "?". What is the meas

Question 1191965: The top surface of a picnic table is in the shape of a regular hexagon.
A hexagon appears to have equal length sides. One interior angle is labeled with a "?".
What is the measure of the angle (in degrees) formed by two consecutive sides?

Found 3 solutions by ankor@dixie-net.com, Alan3354, Edwin McCravy:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The top surface of a picnic table is in the shape of a regular hexagon.
A hexagon appears to have equal length sides.
One interior angle is labeled with a "?".
What is the measure of the angle (in degrees) formed by two consecutive sides?
:
formula for finding the interior angles of a regular polygon
A =
it's a hexagon, therefore n=6
A =
A =
A =
A = 120 degrees
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A hexagon appears to have equal length sides. One interior angle is labeled with a "?".
What is the measure of the angle (in degrees) formed by two consecutive sides?
============================
Exterior angles = 360/6 = 60 degs
Interior angles = 180 - Ext = 120 degs
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

The sum S of the interior angles of a n-sided polygon is Since it's a hexagon, n=6, so Since the hexagon is regular, all the interior angles are congruent (I say "equal", since I'm from the old school). So we divide by 6 to get the answer. Answer: which is Edwin

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