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14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two angles.

User Dsuma
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Answer:

421/6 degrees

Explanation:

The acute angles of a right triangle are complementary, so


10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=(77)/(12)

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

User Pritom
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