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1. the complement is when two angles add up to 99 degrees and the supplement is when the two angles add up to 180 degrees.

2. Let x be the measure of the unknown angle .

3. Let 90 -x be it's complement and 180- x be the supplement of the angle .

4. Given 90-x=3x+9 the measure of the complement of an angle is 3x+9. Solve using the following steps.

99-x=3x+9
Add x-9 to both sides to isolate x-terms on right side and numbers on left
90-x+x-9=3x+9+x-9

90-x+x-9=3x+9+x-9

91=4x
divide by 4 to both sides yields
91/4=x

5. Given 3x+99=180-x. The measure of the supplement of an angle is 3x+99. So
3x+99=180-x

Add x+99 to both sides of equations to isolate x on right side and number on left
3x+99+x-99=180-x+x-99

4x=91

X=91/4

6. The angle is x=91/4

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