I cannot find an easy-that of which holds true for any knowledge of mathematics-way to explain, to a peer, the solution, and the reason the solution is true, to the following problem:

Let H be a convex, equilateral heptagon whose angles measure (in degrees) 168°, 108°, 168°, 108°, x°, y°, and z° in clockwise order. Computer the number y°.

Will someone please not only show the solution, but put the steps to solve it, and why those steps work, in simple terms so that I may expound it to my peer in a rudimentary fashion?


closed as unclear what you're asking by Aretino, Yanior Weg, Lord Shark the Unknown, Shailesh, YuiTo Cheng May 11 at 4:04

Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Welcome to MSE. You'll get a lot more help, and fewer votes to close, if you show that you have made a real effort to solve the problem yourself. What are your thoughts? What have you tried? How far did you get? Where are you stuck? This question is likely to be closed if you don't add more context. Please respond by editing the question body. Many people browsing questions will vote to close without reading the comments. $\endgroup$ – saulspatz May 10 at 15:02
  • $\begingroup$ I clearly stated in the problem everything that is necessary to solve the problem, and I also explained that I can solve the problem, as it is not, to me, a challenging problem, but I require simple steps to reach the solution, and a simple way to explain the, for a peer. $\endgroup$ – Evan Merrill May 10 at 15:09
  • $\begingroup$ Then perhaps you ought to ask this question on matheducators.stackexchange.com $\endgroup$ – saulspatz May 10 at 15:16
  • $\begingroup$ If you know the solution you are kindly requested to explain it in your question. $\endgroup$ – Aretino May 10 at 15:19
  • $\begingroup$ Thank you, I had hitherto not been aware of that site’s existance. I, however, until I find necssecary upon precedement, will keep question here because I have observed questions such as these on this site. $\endgroup$ – Evan Merrill May 10 at 15:20

There is no answer. I constructed it in GeoGebra and the two points are further that $2$ units apart. You need to reach from $A'$ to $B''$ with two segments of length $1$, but they are over $2$ apart in $y$ alone. enter image description here

  • $\begingroup$ Read the problem again, there is an answer. $\endgroup$ – Evan Merrill May 10 at 15:56
  • $\begingroup$ @EvanMerrill I checked the answer by hand, the way Ross Millikan indicated in one comment to your question. I used antother coordinate system than them. The distance between the 2 endpoints of the sequence of angles you give in the question is $\approx 2.6$ times the side length, both in my and their calculation. Please check that you got the angles and their order correct! $\endgroup$ – Ingix May 10 at 17:16

Here's your solution: such heptagon doesn't exist.

enter image description here

  • $\begingroup$ Nope. You're not interpreting the question correctly. I figured out a way to explain it easily, though.. The correct answer was 132 degrees. $\endgroup$ – Evan Merrill May 10 at 21:07
  • 1
    $\begingroup$ Please write then your own answer, I'm really curious to see it. $\endgroup$ – Aretino May 10 at 21:22

Not the answer you're looking for? Browse other questions tagged or ask your own question.