Other proofs
The sum of the measures of the interior angles is 1,440 degrees. How many sides does the polygon have?
10
How many degrees are each interior angle of a regular polygon?
108
A polygon is such that when all diagonals from one vertex are drawn, eleven triangles are formed. How many sides does the polygon have?
13
An exterior angle of a regular polygon measures 30 degrees. What is the measure of an interior angle?
150
If all diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed?
2
Find the number of sides of a regular polygon if one interior angle is 60 degrees.
3
If all diagonals are drawn from a vertex of a pentagon, how many triangles are formed?
3
How many sides does a regular polygon have if one exterior angle is 1 degrees?
360
How many sides does a regular polygon have if one exterior angle is 90 degrees?
4
If all diagonals are drawn from a vertex of a hexagon, how many triangles are formed?
4
Find the number of sides of a regular polygon if one interior angle is 120 degrees.
6
If all diagonals are drawn from a vertex of a octagon, how many triangles are formed?
6
What is the measure of one exterior angle of a regular hexagon?
60
One exterior angle of a regular pentagon measures?
72
How many sides does an octagon have?
8
The measures of three angles of a quadrilateral are 80, 90, and 103 degrees. Find the measure of the fourth angle.
87
The sum of the interior angles of a 7-gon is
900
Regular polygon
A polygon with all the angles equal and all the sides equal.
Diagonal of a polygon
A segment joining two nonconsecutive vertices.
Polygon
Any closed figure bounded by three or more segments that only intersect at their end points. The segments are called the sides, and the end points are called the vertices of the polygon.
Consecutive sides
Any two sides of a polygon that have a common endpoint.
If all diagonals are drawn from a vertex of a n-gon, how many triangles are formed?
N - 2
Consecutive vertices
The endpoints of one side of a polygon.
