Two angles are supplementary supplementary if the sum of their measures is 180 degrees .180°. If the measure of an angle is 9 x9x degrees, represent the measure of its supplement supplement as an algebraic expression in x.

Two angles are supplementary if the sum of their measures is 180°. That means that two angles, let's say, α, and its supplement, β, are supplementary if the following is true:

[tex]\alpha +\beta =180\\[/tex]

Now, let's say that α measures 9x degrees, and let us replace in the above expression:

[tex]9x +\beta =180\\[/tex]

If we now want to represent the measure of the supplementary angle, β, we have to subtract 9x from both sides of the expression to get the final algebraic expression of β in x:

[tex]\beta =180-9x[/tex]

Note that an algebraic expression is just a mathematical relationship between numbers and variables! The goal was to isolate the supplementary angle, β, and find its relationship with the variable x.

Two angles are supplementary supplementary if the sum of their measures is 180 degrees .180°. If the measure of an angle is 9 x9x ​degrees, represent the measure of its supplement supplement as an algebraic expression in x.

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Two angles are supplementary supplementary if the sum of their measures is 180 degrees .180°. If the measure of an angle is 9 x9x degrees, represent the measure of its supplement supplement as an algebraic expression in x.