# Two angles are supplementary. The larger angle is 66 degrees larger then the smaller angle. Find the measure of both angles?

##### 1 Answer

#### Answer:

The answer is

#### Explanation:

A supplementary angle is an angle that equals

Let's call the smaller angle

We also know that the larger number is

x is equal to the smaller angle, and the second angle is

Now we can simplify this by subtracting

(balancing the equation) and get

Next, we can divide

giving us

To get the larger angle we can either subtract:

or add:

Both answers give us

To check our answer, we can add: