ISEE Upper Level Math : Other Quadrilaterals

Example Questions

Example Question #1 : Other Quadrilaterals

Three of the interior angles of a quadrilateral measure , and . What is the measure of the fourth interior angle?

This quadrilateral cannot exist.

Explanation:

The measures of the angles of a quadrilateral have sum . If  is the measure of the unknown angle, then:

The angle measures .

Example Question #2 : Other Quadrilaterals

The angles of a quadrilateral measure . Evaluate .

Explanation:

The sum of the degree measures of the angles of a quadrilateral is 360, so we can set up and solve for  in the equation:

Example Question #3 : Other Quadrilaterals

The four angles of a quadrilateral have the following value: 79 degrees, 100 degrees, 50 degrees, and  degrees. What is the value of ?

Explanation:

Given that there are 360 degrees when all the angles of a quadrilateral are added toghether, this problem can be solved with the following equation:

Example Question #4 : Other Quadrilaterals

In a quadrilateral, the angles have the following values:

What is the value of ?

Explanation:

Given that there are 360 degrees when the angles of a quadrilateral are added together, it follows that:

Example Question #231 : Plane Geometry

The perimeter of a quadrilateral is 86. The four sides measure

.

What is the value of ?