two angles of a triangle are the same size. the third angle is 12 degrees smaller than the first angle. find the measure of the angles
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STEP 1: Define x:
Let one of two angles of the same size be x
Therefore, the other different one will be x - 12
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STEP 2: Find x:
Sum of angles in a triangle is 180°
x + x + (x - 12) = 180
x + x + x - 12 = 180
3x - 12 = 180
3x = 192
x = 64
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STEP 3: Find the 3rd angle
x - 2 = 64 - 12 = 52
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The angles are 64, 64 and 52
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