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A and B are complimentary angles. A=3x+10 and B=5x
Find x.

3x+5x+10=90
8x=80
x=10

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Angle ABC and DBF are vertical  angles. ABC=4x+2 and DBF=3x+6. Find x.

4x+2=3x+6
x+2=6
x=4

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If C is the midpoint of AB, AC=2x+1 and BC=x+5, what is x?

2x+1=x+5
x+1=5
x=4

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Two angles that have a sum of 180 degrees.

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Two angles that have a sum of 90 degrees.

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A pair of adjacent and supplementary angles.

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Two angles that have a common vertex and a common side.

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A line or ray that divides an angle into two congruent angle.

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The middle point that divides a line into two segments.

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Basic ideas that you can use to build definitions of all other figures in geometry.