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What is a polygon with all interior angles congruent?
A polygon with all interior angles congruent Is known as a regular polygon.
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are congruent.
A polygon is regular if and only if the sides are congruent?
Yes and providing that its interior angles are congruent as well because whilst a square is a regular polygon a rhombus is not a regular polygon although it has 4 equal sides its interior angles are not congruent.
Can all exterior angles be congruent?
Yes, any regular polygon.
Are Exterior and interior angles equal to 360?
No because an exterior angle and an interior angle of a polygon add up to 180 degrees but exterior angles around a polygon add up to 360 degrees
What is a polygon with all interior angles congruent?
A polygon with all interior angles congruent Is known as a regular polygon.
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are congruent.
Are same side interior angles congruent?
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
Is a regular polygon a polygon with all sides congruent?
A regular polygon is a polygon with congruent sides and interior angles.
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
A Regular Polygon
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
A polygon is regular if and only if the sides are congruent?
Yes and providing that its interior angles are congruent as well because whilst a square is a regular polygon a rhombus is not a regular polygon although it has 4 equal sides its interior angles are not congruent.
What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
Can all exterior angles be congruent?
Yes, any regular polygon.
Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
What is the sum of the measures of the exterior angles of a polygon?
If you multiply 360 by the number of angles in the polygon and then subtract the sum of all the interior angles you will end up with the sum of all the exterior angles of the polygon.
