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| Colliding Meteors Problems |
The angles of a triangle are such that one is twice as large as another while the third is twelve degrees less than the smaller. Determine all three angles.
Analysis: The table will have one entry for each angle plus one for the total. The total entry uses the common knowledge that the angles of a triangle sum to 180 degrees. The "less than" term implies subtraction. The size of the smallest angle is the base unknown. The basic equation to solve is the sum of the angles, i.e.
angle 1 unknown + 2 X angle 1 unknown + angle 1 unknown - 12 = 180
Once the angle 1 unknown size has been calculated, the size of the other angles
can be calculated.
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