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At most two: 45 degrees(deg) and 45 deg. Of course, there may be no equal angles, e.g. 30, 60 and 90 deg. As long as the angles add up to 180 deg and one is one right angle (90 deg) while the other two add up to 90 deg, the triangle is a right triangle.

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Q: How many equal angles are there in a right angle triangle?
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