SOLUTION: the difference between the exterior and interior angles at a vertex of a regular polygon is 150 deg. the number of sides will be ??
Algebra.Com
Question 541200: the difference between the exterior and interior angles at a vertex of a regular polygon is 150 deg. the number of sides will be ??
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the difference between the exterior and interior angles at a vertex of a regular polygon is 150 deg. the number of sides will be ??
----
Those angles are supplements.
Equations:
x + y = 180
x - y = 150
---
Add and solve for "x":
2x = 330
x = 165 degrees
180-x = 15 degrees
=================
Cheers,
Stan H.
=============
RELATED QUESTIONS
Find the measure of the sum of the exterior angles of a regular polygon with 20 sides?... (answered by stanbon)
The ratio of the interior and exterior angles of a regular polygon is 12 to 6. Calculate, (answered by solver91311)
Work out the exterior and interior angles of a regular polygon with 18... (answered by Alan3354)
a regular polygon has n sides. The sum of the interior angles of the polygon is 1260... (answered by Earlsdon)
the interior angles of a regular polygon is two times the exterior angle. how many sides... (answered by Alan3354)
a regular polygon has an interior angle that is twice the exterior angle. find the... (answered by Alan3354)
The measure of an exterior angle of a regular polygon is 2x, and the measure of an... (answered by greenestamps)
An exterior angle of a regular polygon is 72 degrees. Find the number of sides and the... (answered by ewatrrr)
The ratio of each interior angles to each exterior angle of a regular polygon is 4:1.... (answered by Theo)