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Regular Polygons

With equal angles and equal side lengths, what more could you want from a polygon?

Regular Polygons - Angles


In the above diagram, we are given \[\angle a=30^\circ, \angle b=75^\circ, \angle c=40^\circ.\] What is \(\angle x?\)?

In the above diagram, we are given \[\angle a=75^\circ, \angle b=90^\circ, \angle c=35^\circ, \angle d=100^\circ.\] What is \(\angle x\) in degrees?

Note: The above diagram is not drawn to scale.

A regular polygon has 6 sides. What is the sum (in degrees) of all of its interior angles?

What is the sum of interior angles of a regular \(14\)-gon?

What is the sum of all exterior angles of a regular polygon with 4 sides?


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