Find the sharp corners of a right triangle if one is 50% larger than the other.

A right-angled triangle is a triangle that has one of its angles 90 °. Based on the theorem on the sum of the angles of a triangle, the other two angles of a right-angled triangle are acute and add up to 90 °.
If one of the angles is 50% larger than the second, then we denote the smaller angle as x, and the larger one will be equal in proportion to (50 * x) / 100 = 0.5 * x.
Let’s make an equation with one unknown:
x + 0.5 * x = 90 °;
1.5 * x = 90 °;
x = 90 ° / 1.5;
x = 60 °.
Thus, the first angle is 60 °, then the second angle will be 0.5 * 60 ° = 30 °.
Answer: 60 ° and 30 °.



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