One angle of a regular polygon

Difficulty Stretch · Set 4dia52

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1
Every angle of a regular dodecagon is the same size. How many degrees is one of them?
2
Every angle of a regular octagon is the same size. How many degrees is one of them?
3
Every angle of a regular dodecagon is the same size. How many degrees is one of them?
4
Every angle of a regular quadrilateral is the same size. How many degrees is one of them?
5
Every angle of a regular pentagon is the same size. How many degrees is one of them?
6
Every angle of a regular octagon is the same size. How many degrees is one of them?
7
Every angle of a regular nonagon is the same size. How many degrees is one of them?
8
Every angle of a regular hexagon is the same size. How many degrees is one of them?
9
Every angle of a regular pentagon is the same size. How many degrees is one of them?
10
Every angle of a regular decagon is the same size. How many degrees is one of them?
11
Every angle of a regular dodecagon is the same size. How many degrees is one of them?
12
Every angle of a regular nonagon is the same size. How many degrees is one of them?
13
Every angle of a regular decagon is the same size. How many degrees is one of them?
14
Every angle of a regular decagon is the same size. How many degrees is one of them?
15
Every angle of a regular quadrilateral is the same size. How many degrees is one of them?
16
Every angle of a regular quadrilateral is the same size. How many degrees is one of them?
17
Every angle of a regular decagon is the same size. How many degrees is one of them?
18
Every angle of a regular quadrilateral is the same size. How many degrees is one of them?
19
Every angle of a regular decagon is the same size. How many degrees is one of them?
20
Every angle of a regular dodecagon is the same size. How many degrees is one of them?

What is in this set

The numbers in this set run from 0 to 0.
Every problem in it will use a shape whose angles are all the same.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 88% of the problems: that is one angle of the turn outside the shape; the inside angle is what is left of the straight line.
Answers are a whole number.

Drawing 240 problems from this page produced 8 different ones, 3% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.