SOLUTION: A polygon has 3 interior angles which measure 150 degrees. The remaining exterior angles each measure 45 degrees. How many sides does the polygon have?

Question 1081981: A polygon has 3 interior angles which measure 150 degrees. The remaining exterior angles each measure 45 degrees. How many sides does the polygon have?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A polygon has 3 interior angles which measure 150 degrees. The remaining exterior angles each measure 45 degrees. How many sides does the polygon have?
--------------------
Use exterior angles:
A polygon has 3 exterior angles which measure 30 degrees. The remaining exterior angles each measure 45 degrees. How many sides does the polygon have?
------------
3*30 + x*45 = 360
x = 6
--> 9 sides

RELATED QUESTIONS
A polygon has 3 interior angles which measure 150�. The remaining exterior angles each... (answered by Alan3354)

A k-sided polygon has 3 interior angles measuring 145, 157 and 178 degrees; and the... (answered by Alan3354)

four exterior angles of a polygon are 80 degrees each. if the remaining angles are 20... (answered by Alan3354)

1- CALCULATE THE SIZE OF EXTERIOR ANGLES OF A REGULAR POLYGON WHICH HAS INTERIOR ANGLES... (answered by Alan3354)

Find the measure of the sum of the exterior angles of a regular polygon with 20 sides?... (answered by stanbon)

Name the polygon whose interior angles each measure 120... (answered by stanbon)

A regular polygon has an exterior angle measure of (x+3)degrees and an interior angle... (answered by KMST)

A polygon has n sides. Three of its interior angles are 50 degrees, 60 degrees and 70... (answered by Alan3354)

2.) The sum of the interior angles of a regular polygon is 2340 degrees Part A:... (answered by htmentor,greenestamps)