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The 3 interior angles of a right angle triangle add up to 180 degrees and so:-

If: x+15+2x+90 = 180

Then: 3x = 75 and so x = 25

Therefore the largest acute angle is 2x = 50 degrees

Check: 45+55+90 = 180 degrees

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Q: In a right triangle the acute angles measure x plus 15 and 2x degrees. What is the measure of the larger acute angle of the triangle?
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In the right triangle the ratio of the measures of the two acute angles is 4 to 1 what is the measure in degrees of the larger acute angle?

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