# GED Math : Supplementary Angles

## Example Questions

### Example Question #77 : Angle Geometry

If an angle is measured 75 degrees, what is the other angle if both angles are supplementary?

Explanation:

Supplementary angles sum up to 180 degrees.

To find the other angle, subtract the given angle from 180 degrees.

### Example Question #73 : Angle Geometry

Suppose the angle  and  are supplementary.  What must be a possible angle?

Explanation:

If two angles are supplementary, they must add up to 180 degrees.

Set up an equation such that both angles will add to 180 degrees.

Solve the equation.

Divide by 5 on both sides.

One of the possible angles is either  or .

### Example Question #79 : Angle Geometry

Two angles are supplementary if they add up to:

Explanation:

Two angles are supplementary if they add up to .

### Example Question #502 : 2 Dimensional Geometry

Two angles are supplementary. If one angle is , what is the value of the other angle?

Explanation:

If two angles are supplementary, they add up to . So, we can use the formula:

Now, we know one angle is . So, we can substitute and then solve for the other angle. So, we get

Therefore, the other angle is .

### Example Question #81 : Angle Geometry

Suppose two angles are supplementary.  If one angle is  degrees, what must be the other angle?

Explanation:

Supplementary angles must add up to 180 degrees.

Subtract the known angle from 180.

### Example Question #82 : Angle Geometry

If two angles are supplementary to each other, what is the other angle if one angle is 135 degrees?

Explanation:

Supplementary angles add to to 180 degrees.

To find the other angle, subtract the known angle from 180.

### Example Question #83 : Angle Geometry

Suppose two angles are supplementary to each other.  What is the value of the other angle if one angle is measured 120 degrees?

Explanation:

Supplementary angles must add up to 180 degrees.

To find the other angle, subtract the known angle from 180.

### Example Question #81 : Angle Geometry

In the diagram below, find the measurement of .

Explanation:

Notice that the three smaller angles all lie on a straight angle. This means we can write the following equation:

Now,  has a measure of , thus we can write the following:

### Example Question #511 : Geometry And Graphs

Use the following diagram of angles to answer the question:

If these two angles are supplementary, find the value of x.

Explanation:

Two angles are supplementary if they add up to . So, we can use the formula:

where x and y are the angles.

So, given the angles

we can see one angle is . So, we can substitute and solve for x. We get

### Example Question #81 : Angle Geometry

If two angles are supplementary, and their angles are  and , what must  be?