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In a triangle, the sum of all three interior angles is always 180°.
In this case, we know the third angle is a right angle, which means it measures 90°.
Let's call the first unknown angle x. By the Triangle Angle Sum Theorem, we know that the sum of the three angles is 180°:
x + 90° + 90° = 180°
Combining like terms:
x + 180° = 180°
x = 0°
Therefore, the measures of each angle of this triangle are 0°, 90°, and 90°.