### All Intermediate Geometry Resources

## Example Questions

### Example Question #1 : How To Find An Angle In A Parallelogram

A parallelogram contains 2 angles measuring 135 and 45. What are the measures of the other 2 angles?

**Possible Answers:**

Any pair of numbers which add to 180

**Correct answer:**

Parallelograms have angles totalling 360 degrees, but also have matching pairs of angles at the ends of diagonals. Therefore the 2 additional angles must match the 2 given in the question.

### Example Question #2 : How To Find An Angle In A Parallelogram

Using the above rhombus, find the measurement of angle

**Possible Answers:**

**Correct answer:**

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees)--i.e. angles degrees.

Thus, the solution is:

### Example Question #3 : How To Find An Angle In A Parallelogram

Using the above rhombus, find the measurement of angle .

**Possible Answers:**

**Correct answer:**

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees)--i.e. angles degrees.

Thus,

### Example Question #4 : How To Find An Angle In A Parallelogram

Using the above rhombus, find the sum of angle and angle .

**Possible Answers:**

**Correct answer:**

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees).

Thus, the solution is:

### Example Question #5 : How To Find An Angle In A Parallelogram

Given that the measurement of angle degrees, find the sum of angle and angle

**Possible Answers:**

**Correct answer:**

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees)--i.e. angles degrees.

The solution to this problem is:

Therefore,

### Example Question #6 : How To Find An Angle In A Parallelogram

Using the above rhombus, find the measurement of angle

**Possible Answers:**

**Correct answer:**

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees).

Thus, the solution is:

### Example Question #7 : How To Find An Angle In A Parallelogram

In the above rhombus, angle has a measurement of degrees. Find the sum of angles and

**Possible Answers:**

**Correct answer:**

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees)--i.e. angles degrees.

The solution to this problem is:

Thus,

### Example Question #8 : How To Find An Angle In A Parallelogram

Using the parallelogram above, find the measurement of angle

**Possible Answers:**

**Correct answer:**

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees).

Since, angle and are supplementary the solution is:

### Example Question #9 : How To Find An Angle In A Parallelogram

Using the parallelogram above, find the sum of angles and .

**Possible Answers:**

**Correct answer:**

A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees).

The first step to solving this problem is to find the measurement of angle . Since angle is a supplementary angle to angle , angle

Since, angle and are opposite interior angles they must be equivalent.

Thus, the final solution is:

### Example Question #10 : How To Find An Angle In A Parallelogram

Using the parallelogram above, find the sum of angles and .

**Possible Answers:**

**Correct answer:**

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. And, the adjacent interior angles must be supplementary angles (sum of degrees).

Since, angles and are opposite interior angles, they must be equivalent.

Therefore, the solution is: