In geometry, you will learn that supplementary angles add up to 180 degrees. Therefore, if two angles have exterior rays that lie on a line, those two angles are supplementary and they add up to 180 degrees. Supplementary angles are shown below:

You can use this information to set up an equation to solve the problem below for x.

Angle 1 has measure "x". Angle 2 has measure "2x + 30". Find x.

Hint: use the fact that these two angles lie on a line and are therefore supplementary to write the equation:

x + 2x + 30 = 180

Then solve for x.


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