math

(n-2)*180 =108n

180 n - 108 n = 360
72 n = 360
n = 5

drwls, I had totally misread the problem and thought it said
(n-2)^180 =108n

been working on it for almost an hour, trying Newton's method and all kinds of iteration.
I really have to try to read the questions more carefully, ha ha

You will have to use a graphical or iterative method (like Newton's) to solve that. There is no explicit closed-form answer.

(n-2)^180 =108n
If n = 3.03, you get 204 (left) & 327 (right)
If n = 3.04, you get 1164 (left) and 328 (right)
If n = 3.0326, you get 322 on the left and 327 on the right
The answer is 3.0327...

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    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

  2. geometry

    Using deductive reasoning, complete the following. The sum of the angles of any quadrilateral is 360° In quadrilateral PQRS, m∠S=50° Therefore... A.m∠P+m∠Q+m∠S=310° B.m∠P+m∠Q+m∠S=360° C.m∠P+m∠Q+m∠R=360°

  3. inverse trig HELP PLEASE!!

    Write the general solution to y = arcsin (0.6428). 40°±360°k 140°±360°k 220°±360°k 320°±360°k How do I find the right answer? I am like seriously stuck. I need help please.

  4. Trig

    4. Asked to simplify the expression sin(180−è), Rory volunteered the following solution: sin(180−è) = sin 180−sin è, and, because sin 180 is zero, it follows that sin(180−è) is the same as −sin è. Is this answer

  1. 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

  2. Please help Math

    Determine the correct formula for the measures of all angles coterminal with the angle: 140° a. 140° + (360° + n) b. 140° + n(360°) c. 360° + n(180°) d. 360° + (180° + n)

  3. Trigonometrt

    Express in functions of theta: a. sin ( 810- theta) b. cot ( theta - 360) c cos (-180- theta)

  4. Math

    Please help quick 1) an iscosceles triangle includes two 72 degree angles. Which equation could be used to find the measure of the third angle? A x + 72 = 180 B x = 180 - 72 C 72 ÷ x = 180 D 180 - 2(72) = x Please answer quickly

  1. MathsSs triG

    Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-360)sin(90-x)tan(-x)/cos(90+x) to a single trigonometric ratio B.hence or otherwise without using a calculator,solve for X if 0

  2. geometry

    What is the sum of the interior and the exterior angles of a 100-gon? Would the interior be (100-2)180 = 98*180=17640 degrees. is the exterior figured out 360/100= 3.6 degrees.

  3. mathematics

    simplify cos(360-x)tanx/ sin(x-180)cos(90+x)

  4. geometry

    What's the next number 360, 180, 60, 15...?

You can view more similar questions or ask a new question.