SOLUTION: This is not a question asking for a solution to any problem. I'm asking for difficult practice/study problems that are similar to this one: "The measure of an interior angle of a r

Algebra ->  Polygons -> SOLUTION: This is not a question asking for a solution to any problem. I'm asking for difficult practice/study problems that are similar to this one: "The measure of an interior angle of a r      Log On


   

Question 1113732: This is not a question asking for a solution to any problem. I'm asking for difficult practice/study problems that are similar to this one: "The measure of an interior angle of a regular polygon is three times the measure of an exterior angle of the same polygon. What is the name of the polygon?" Please don't put the answers to the question as I may accidentally see it before I've solved it.
Eric out!
Found 4 solutions by addingup, MathTherapy, ikleyn, Alan3354:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have?
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The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does it have?

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

This is not a question asking for a solution to any problem. I'm asking for difficult practice/study problems that are similar to this one: "The measure of an interior angle of a regular polygon is three times the measure of an exterior angle of the same polygon. What is the name of the polygon?" Please don't put the answers to the question as I may accidentally see it before I've solved it.
Eric out! 
These are a little different, but you should be able to solve them.



1) The interior angle of a polygon is 100 . The other interior angles are all equal to 110 . How many sides has the polygon ? 



2) two angles of a polygon are right angles and the remaining are 120 degree each . find the number of sides in it. 



3) The measure of each interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon. 

   I attempted this by trying to solve for each interior angle. I+24=38E and got I=178. Then, I entered that in [180(n-2)]/n =178. I got 180 and the answer should be 90. Where did I go wrong?

Answer by ikleyn(52806) About Me  (Show Source):
You can put this solution on YOUR website!
.
Since you ask for problems to practice,  look in the lessons in this site
    - Solved problems on supplementary and complementary angles
    - Solved problems on angles of a triangle
    - Solved problems on angles of a parallelogram
    - Solved problems on angles of a quadrilateral
    - Solved problems on angles of a polygon
    - Solved problems on missed angle of a polygon
    - Solved problems on angles of a regular polygon

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Finding angles of triangles, parallelograms, rectangles and polygons".


Save the link to this online textbook together with its description

Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson

to your archive and use it when it is needed.


                    H a p p y   l e a r n i n g  ! !



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have?
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5 times larger = 6 times as large
4 times larger = 5 times as large
3 times larger = 4 times as large
2 times larger = 3 times as large
1 time larger = 100% larger = 2 times as large
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"times larger" <> "times as large"
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PS 3 times smaller makes no sense, since 1 time smaller is zero.
Same for closer.