SOLUTION: THE SIZE OF EACH INTERIOR ANGLE OF A REGULAR POLYGON IS 11 TIMES THE SIZE OF EACH EXTERIOR ANGLE. WORK OUT THE NUMBER OF SIDES THE POLYGON HAS.

Question 644886: THE SIZE OF EACH INTERIOR ANGLE OF A REGULAR POLYGON IS 11 TIMES THE SIZE OF EACH EXTERIOR ANGLE.
WORK OUT THE NUMBER OF SIDES THE POLYGON HAS.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
THE SIZE OF EACH INTERIOR ANGLE OF A REGULAR POLYGON IS 11 TIMES THE SIZE OF EACH EXTERIOR ANGLE.
WORK OUT THE NUMBER OF SIDES THE POLYGON HAS.
======
Equation:
x + 11x = 180
12x = 180
x = 15 degrees (size ofr each exterior angle)
---
Fact: Sum of all the exterior angles is 360 degrees
---
# of sides = # of exterior angles = 360/15 = 24
--------------------
Cheers,
Stan H.
======================
RELATED QUESTIONS
The size of each interior angle is 140 degrees greater than the size of each exterior... (answered by Alan3354)

the size of each exterior angle of a regular polygon is 45 degrees work out the number of (answered by Alan3354)

Help The Question is : Work out the size of each exterior angle of a regular 20 sided... (answered by Edwin McCravy)

A regular polygon has n sides. The size of each interior angle is 132 degree more than... (answered by Alan3354)

Work out the size of an exterior and an interior angle of a regular 18-sided polygon. (answered by math_helper,Alan3354)

The sum of interior angles of a regular polygon is 2880. a) calculate the size of each... (answered by Alan3354)

A regular polygon has q sides, calculate the size of each exterior angle of the... (answered by Alan3354)

Calculate the number of sides a regular polygon has if an interior angle is five times... (answered by MathLover1)

Each interior angle of a regular polygon is thrice each exterior angle. Find the number... (answered by Edwin McCravy)