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Let the second angle of the triangle be A.

Then angle 1 = 2A : and angle 3 = 3A - 12

The internal angles of a triangle total 180° therefore :-

2A + A + (3A - 12) = 180

6A - 12 = 180 : 6A = 192 : A = 32

The angles measure 64° , 32° and 84° .

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Q: Find the measures of the angles of a triangle if the measures of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 12?
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