Polygon Angle Measures Hard Problems

An exterior angle measure of a regular polygon is 22.5⁰.  How many sides does the polygon have?Hint: The sum of all the exterior angles of any polygon is 360⁰

• 18
• 16
• 20
• 14

What is the interior angle of a regular polygon with an exterior angle of 165 degrees?  Hint: An interior angle and its exterior angle form a linear pair.

• 180
• 15
• 360
• 195

What is the sum of the interior angles for a 24-gon.  Hint: sum of the measures of the interior angles of a polygon is (n - 2)180, where n is the number of sides.

• 3960
• 360
• 15
• 4280

What is the sum of the exterior angles for a nonagon?

• 180
• 1260
• 360
• 9

What is the formula for the sum of the measures of the interior angles of a polygon ?

• S_I =360
• S_I =180(n-2)
• S_I =360/n
• R_I = ((n-2)180)/n

What is the formula for the sum of the measures of the exterior angles of a polygon?

• S_E =360
• S_E =180(n-2)
• S_E=360/n
• R_E=360/n

How many sides does a regular polygon have with an exterior angle of 24^o?

• 24
• 26
• 124
• 15

What is the measure of an exterior angle of a regular 67-gon?

• 5.4
• 11700
• 3.2
• 113

• 35
• 40
• 45
• 50

• 410
• 335
• 155
• 130