All ISEE Upper Level Math Resources
Example Questions
Example Question #1 : Pentagons
A convex pentagon has four angles that measure each. What is the measure of the fifth angle?
This pentagon cannot exist.
This pentagon cannot exist.
The angles of a pentagon measure a total of . If we let the unknown angle measure be , then from this information:
Since an angle measure cannot be negative, this pentagon cannot exist.
Example Question #2 : How To Find An Angle In A Pentagon
The measures of the angles of a pentagon are . If , what is ?
This pentagon cannot exist.
The angles of a pentagon measure a total of . From the information, we know that:
If , then
Example Question #3 : How To Find An Angle In A Pentagon
The measures of the angles of a pentagon are . If , what is ?
This pentagon cannot exist.
The angles of a pentagon measure a total of . From the information, we know:
If , then the above becomes:
Example Question #4 : How To Find An Angle In A Pentagon
Solve for :
The sum of the interior angles of a pentagon can be determined by the following equation, where is the number of sides:
Therefore:
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