All GMAT Math Resources
Example Questions
Example Question #701 : Gmat Quantitative Reasoning
Note: Figure NOT drawn to scale.
Given Regular Pentagon . What is ?
Quadrilateral is a trapezoid, so .
, so
Example Question #11 : Calculating An Angle In A Polygon
The angles of a pentagon measure .
Evaluate .
This pentagon cannot exist
The sum of the degree measures of the angles of a (five-sided) pentagon is , so we can set up and solve the equation:
Example Question #702 : Gmat Quantitative Reasoning
The measures of the angles of a pentagon are:
What is equal to?
The degree measures of the interior angles of a pentagon total , so
Example Question #12 : Calculating An Angle In A Polygon
What is the measure of an angle in a regular octagon?
On octagon has sides. The word regular means that all of the angles are equal. Therefore, we can use the general equation for finding the angle measurement of a regular polygon:
, where is the number of sides of the polygon.
.
Example Question #11 : Calculating An Angle In A Polygon
What is the measure of one exterior angle of a regular twenty-four sided polygon?
The sum of the measures of the exterior angles of any polygon, one at each vertex, is . Since a regular polygon with twenty-four sides has twenty-four congruent angles, and therefore, congruent exterior angles, just divide: