Hi there,
I am answering a question in my workbook and not sure where I am going wrong. The question is:
'The size of each interior angle of a regular polygon is 168°. How many sides has the polygon?'
Now how I went about answering this is using the angle facts explained earlier in the chapter.
If the interior angles are all 168° and I have to work out how many sides it has, what I did was to:
1) Multiply 168 in sets of 5 to find an answer that would divide evenly by 180° (because the number of triangles in the polygon will be number of sides -2). Therefore I can just find that 168x15 = 2520. 2520 ÷ 180 = 14 triangles, or 16 sides.
Therefore a regular polygon with interior angles of 168° will have 16 sides. But the answer page says 30. Where am I going wrong here?
I did the same process with the previous question which used 140° interior angles and got the correct answer, 9.
Any help much appreciated, thanks.
I am answering a question in my workbook and not sure where I am going wrong. The question is:
'The size of each interior angle of a regular polygon is 168°. How many sides has the polygon?'
Now how I went about answering this is using the angle facts explained earlier in the chapter.
If the interior angles are all 168° and I have to work out how many sides it has, what I did was to:
1) Multiply 168 in sets of 5 to find an answer that would divide evenly by 180° (because the number of triangles in the polygon will be number of sides -2). Therefore I can just find that 168x15 = 2520. 2520 ÷ 180 = 14 triangles, or 16 sides.
Therefore a regular polygon with interior angles of 168° will have 16 sides. But the answer page says 30. Where am I going wrong here?
I did the same process with the previous question which used 140° interior angles and got the correct answer, 9.
Any help much appreciated, thanks.