polygon

[casca]

In a regular polygon, the interior angle is 108° greater than the exterior angle. Calculate the number of sides of the polygon.

 

[Dr.Peterson]

the interior angle is 108° greater than the exterior angle

What is the exterior angle, then? From that, you can find the number of sides.

Please show your thoughts, so we can see what help you need:

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[casca]

The exterior angle was not given.

 

[Dr.Peterson]

The exterior angle was not given.

But you can FIND it. Let the exterior angle be x; write an expression for the interior angle; use this to write an equation, and solve for x. (Or you could do the same with the interior angle.)

Please at least make an attempt, so we can see what you are able to do. We'll use that information to help you.

 

[HallsofIvy]

The interior and exterior angles at a given vertex of any polygon add to 180 degrees.