### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #1 : How To Find An Angle In Other Quadrilaterals

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

**Possible Answers:**

This quadrilateral cannot exist.

**Correct answer:**

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 : How To Find An Angle In Other Quadrilaterals

The angles of a quadrilateral measure . Evaluate .

**Possible Answers:**

**Correct answer:**

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 : How To Find An Angle In 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 ?

**Possible Answers:**

**Correct answer:**

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 : How To Find An Angle In Other Quadrilaterals

In a quadrilateral, the angles have the following values:

.

What is the value of ?

**Possible Answers:**

**Correct answer:**

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