6. The acute angles of a right triangle are in the ratio 2 : 1. Find each of these angles.
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Let one of the angles be x, the other be 2x.
x + 2x + 90 = 180 (as the sum of 3 angles of a triangle is 180)
or 3x = 180 - 90
or 3x = 90
or x = 90/3 = 30
x = 30, 2x = 60
Therefore the two angles are 30 and 60 respectively.
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