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No; a right triangle cannot have two angles that are measured 38 and 54 degrees. This is because a right triangle must have one angle that is equal to 90 degrees, for this is a basic property of a right triangle. The sum of the angles in the triangle must be 180 degrees. In order to prove that there indeed cannot be a triangle with angles measuring 90, 38, and 54 degrees, you add the three. If their sum is greater than 180 degrees, then it is impossible; as in this case, where the sum totals to 182 degrees.

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Q: Can a right triangle have two angles measure 38 and 54 degrees?
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