1 answer:
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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