<PRE><B>Question 1116540</B>
Consider the following angle measures for polygons A through T, and answer the following questions. 
A	B	C	D	E	F	G	H	I	J
10	15	20	30	40	45	50	60	72	75 
K	L	M	N	O	P	Q	R	S	T
80	90	100	108	120	144	150	210	240	360
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Note:: The sum of the exterior angles is always 360 degrees.
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a. If each angle measure represented an exterior measure of its polygon, which of the polygons could be regular? Explain your answers. 
b. If each angle measure represented an exterior measure of a regular polygon, name each polygon by using its number of sides. (For any figure with more than 12 sides, just use the number: e.g. 45-gon.)
A:: 360/10 = 36; regular: 36-gon
B:: 360/15 = 24; regular; 24-gon
C:: 360/20 = 18; regular; 18-gon
D:: 360/30 = 12; regular; duodecagon
...
G:: 360/50 = 7.2; not regular
...
I:: 360/72 = 5; regular; pentagon
etc.
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d. If each angle measure represented an exterior measure of its polygon, which of the polygons do we know are convex? Explain your answers.
M,N,O,P etc. have exterior greater than 90 degrees so they are convex.
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Cheers,
Stan H.</PRE>