In a right-angled triangle, two acute angles are 1: 2. Find these angles.
| August 22, 2021 | education
The sum of the acute angles of a right-angled triangle is 90 °. The angles are related as 1: 2. The first angle is x °, the second – 2x °.
x + 2x = 90 °;
3x = 90 °;
x = 30 ° – the first angle.
2 * 30 ° = 60 °, or 90 ° – 30 ° = 60 ° – the second angle.
Answer: 30 ° and 60 °.
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