# High School Math : Angles

## Example Questions

### Example Question #1 : Angles

Solve for and .

(Figure not drawn to scale).

Explanation:

The angles containing the variable  all reside along one line, therefore, their sum must be .

Because  and  are opposite angles, they must be equal.

### Example Question #1 : Angles

Are  and  complementary angles?

Yes

Not enough information

Maybe

No

Yes

Explanation:

Complementary angles add up to . Therefore, these angles are complementary.

### Example Question #2 : Angles

What angle is complementary to ?

Explanation:

Two complementary angles add up to .

Therefore, .

### Example Question #3 : Angles

Which of the following angles is supplementary to ?

Explanation:

When two angles are supplementary, they add up to .

For this problem, we can set up an equation and solve for the supplementary angle:

### Example Question #4 : Angles

What angle is supplementary to ?

Explanation:

Supplementary angles add up to . That means:

### Example Question #2 : Angles

Solve for .

(Figure not drawn to scale).

Explanation:

The angles are supplementary, therefore, the sum of the angles must equal .

### Example Question #3 : Angles

Are  and  supplementary angles?

Yes

No

Not enough information

Yes

Explanation:

Since supplementary angles must add up to , the given angles are indeed supplementary.

### Example Question #7 : Angles

Which of the following angles is complementary to ?

Explanation:

Two complementary angles add up to .

### Example Question #1 : Angles

What angle is supplementary to ?

Explanation:

When two angles are supplementary, they add up to .

Solve for :

### Example Question #1 : Understanding Coterminal Angles

Which of the following angles is coterminal with  ?

Explanation:

For an angle to be coterminal with , that angle must be of the form  for some integer  - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

is the correct choice, since only that choice passes our test.