Question

Гострий кут прямокутного трикутника 75°. Знайти інший гострий кут.​

Answer 1

Всі кути трикутника = 180°

1 кут = 70°

2 кут = 90° (так як трикутник прямокутний)

3 кут = 180° - (70° + 90°) = 180° - 165° = 15°

Відповідь: Інший гострий кут = 15°

Answer 2

Finding the Other Acute Angle of a Right-Angled Triangle

To find the other acute angle of a right-angled triangle when one acute angle is given, we can use the fact that the sum of all angles in a triangle is always 180 degrees. Given that one acute angle of the right-angled triangle is 75°, we can find the other acute angle using the following steps:

1. Calculate the Other Acute Angle: - Since we know that the sum of all angles in a triangle is 180 degrees, we can find the other acute angle by subtracting the given angle from 90 degrees (as the right angle in a right-angled triangle measures 90 degrees).

- Therefore, the other acute angle can be calculated as: ``` Other Acute Angle = 90° - 75° ```

- This gives us: ``` Other Acute Angle = 15° ```

So, the other acute angle of the right-angled triangle is 15 degrees.

This information is based on the principles of geometry and the properties of right-angled triangles.