<PRE><B>Question 1131357</B>
&lt;br&gt;
Some of the answers from the other tutor are not right.  An exterior angle of a polygon is 180 degrees minus the interior angle -- not 360 minus the interior angle.&lt;br&gt;
2.A&lt;br&gt;
To make calculations easier, I personally would change the given information to say that the sum of all the interior AND EXTERIOR angles is 2340+360 = 2700 degrees.  Then that 2700 divided by 180 gives the number of sides in the polygon.&lt;br&gt;
2700/180 = 15.  The polygon has 15 sides.&lt;br&gt;
2.C&lt;br&gt;
The measure of an exterior angle is 360 degrees divided by the number of sides.&lt;br&gt;
360-15 = 24.  The measure of each exterior angle is 24 degrees.&lt;br&gt;
2.B&lt;br
The measure of an interior angle is 180 degrees minus the measure of an exterior angle.&lt;br&gt;
180-24 = 156.  The measure of each interior angle is 156 degrees.&lt;br&gt;
3. In a regular polygon, the number of sides is 360 degrees divided by the measure of each exterior angle.&lt;br&gt;
360/20 = 18.  A regular polygon with exterior angles of 20 degrees has 18 sides.&lt;br&gt;
5. (The other tutor&#39;s answers are fine for this one....)&lt;br&gt;
7. This question can&#39;t be answered, because the statement of the problem has severe faults.&lt;br&gt;
(1) The statement of the problem only says the sum of the measures of the interior angles is equal to the sum of &quot;six consecutive rational numbers&quot;; it doesn&#39;t say the six interior angles are those six consecutive rational numbers.
(2) There is no such thing as &quot;six consecutive rational numbers&quot;.  &quot;six consecutive integers&quot; makes sense; but there are no six consecutive integers with a sum of 720.
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