Question

Write an equation to solve for x. Solve. (Hint: complementary and supplementary angles)

Answer 1

x + 34 = 180

x = 146

Explanation:

Using supplementary angles we can create equations in order to solve for a variable.

Supplementary Angles

Supplementary angles are angles that form a straight line. Remember that straight lines have a measure of 180°. So, by this definition, we can say that supplementary angles sum to 180°. This means that we can create an equation that adds the angles together and equals 180°.

For example,

• x + 34 = 180

We know that x and 34 will equal 180 because they form a straight line, and thus are supplementary.

Solving for x

Now that we have created an equation, we can find x. To do this we should isolate the variable. Starting with our equation,

• x + 34 = 180

Subtract 34 from both sides.

• x = 146

This shows that the unknown angle is 146°.

Answer 2

180=34 + x

Explanation:

a straight line has an angle of 180 degrees

we know that the first angle is 34 degrees, so we need to subtract 34 from 180

180-34 will give you angle x