Question

найдите острые углы прямоугольного треугольника если один из внешних углов этого треугольника равен 125 градусов

Answer 1

Внутренний угол равен 180-125=55

Значит один острый угол равен 55, а второй 180-90-55=35

Answer 2

Finding the acute angles of a right triangle

To find the acute angles of a right triangle, we need to use the information provided. In this case, we know that one of the external angles of the triangle is 125 degrees.

Let's break down the steps to find the acute angles:

1. Identify the right angle: In a right triangle, one of the angles is always 90 degrees.

2. Find the sum of the acute angles: The sum of the acute angles in any triangle is always 90 degrees.

3. Subtract the given external angle from 180 degrees: Since the sum of the angles in any triangle is 180 degrees, we can subtract the given external angle from 180 to find the sum of the acute angles.

4. Divide the sum of the acute angles by 2: Since we have a right triangle, one of the acute angles is 90 degrees. To find the other acute angle, we can divide the sum of the acute angles by 2.

Let's apply these steps to the given information:

1. The right angle in the right triangle is 90 degrees.

2. The sum of the acute angles is 90 degrees.

3. Subtracting the given external angle of 125 degrees from 180 degrees gives us 55 degrees as the sum of the acute angles.

4. Dividing the sum of the acute angles (55 degrees) by 2 gives us 27.5 degrees for each acute angle.

Therefore, the acute angles of the right triangle are approximately 27.5 degrees each.

Please note that the calculation is approximate due to the limited precision of the given information.

Conclusion

The acute angles of the right triangle, given that one of the external angles is 125 degrees, are approximately 27.5 degrees each.