math

posted by .

The measure of an interior angle of a regular polygon is 135 degrees. Find the number of sides in the polygon. This is what I tried:

180(x-2)=135 [Interior Angle Sum Theorem]
x-2=.75
x=2.75

That can't be right though. Help?

Not sure about your formula.

Number of sides = 360/(180-interior angle)

so

Number of sides = 360/(180-135)
= 360/45
= 8


180(x-2) gives you the SUM of the interior angles, so each angle would be 180(x-2)/x

your equation would be

180(x-2)/x = 135

Sove it, you will get the answer DrRuss got.

  • math -

    180°-360°/n=108°

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math.

    Each exterior angle of a regular polygon is 15 degrees. 1.Determine the number of sides of the polygon. 2.What is the sum of the interior angles?
  2. math--fast help please

    Find the interior and exterior angle measurements of a polygon with this many sides: x=2y help?
  3. Algebra 2

    The formula A = 180(n-2)/n relates to the measure A of an interior angle of a regular polygon to the number of sides n. If an interior angle measures 120 degrees, find the number of sides A)5 B)6 C)8 D)10 I have NO clue on how to do …
  4. Geometry

    In a regular polygon (equal sides and angles), you use (n-2)180 to find out what the interior angle sum is (n=number of sides in polygon) and you divide by that number by whatever n is to find out the measure of an individual angle, …
  5. Geometry

    1. How many sides does a regular polygon have if one exterior angle is 90 degrees?
  6. geometry

    If the ratio of the interior angle to the exterior angle is 5:1 for a regular polygon, find a. the size of each exterior angle b. the number of sides of the polygon c. the sum of the interior angles d. Name the polygon
  7. 7th grade math Ms. Sue please

    2. Find the sum of the interior angles of a nonagon. (1 point) 140° 1,620° 1,260° 1,450° 4. Find the measure of each interior angle of a polygon with 12 sides. (1 point) 1,800° 150° 180° 145° 5. Four of the angles of a pentagon …
  8. Math

    1. The measure of an interior angle of a regular polygon is 20 more than thrice the measure of its adjacent exterior angle. Find the number of sides of the polygon and its total number of diagonals. 2. Find the sum and difference between …
  9. Math

    The measure of each interior angle of a regular polygon with n sides is [(n - 2)180 / n] degrees. What is the measure of each interior angle of a regular polygon with n sides, in radians?
  10. Math please helppp

    1 Find the missing angle measure in the polygon A ] 77 B ] 87 C ] 97 D ] 107 i think its b 2 Find the sum of the interior angles in 10 - sided polygon A ] 1,260 B ] 1,440 c ] 1,620 d ] 1,800 i think its c or b 3 Find the measure of …

More Similar Questions