The acute angles of a right triangle are in a ratio of 3: 7. Find these corners.

1. Let’s denote one part by x.

2. Define the degree measures of the angles of a right-angled triangle:

The first angle is 3 * x = 3x;

The second angle is 7 * x = 7x.

3. Since the sum of the angles of the triangle is 180˚, compose and solve the equation:

3x + 7x + 90˚ = 180˚;

10x + 90˚ = 180˚;

10x = 180˚ – 90˚;

10x = 90˚;

x = 90˚: 10;

x = 9˚.

4. One part is equal to x = 9˚.

5. What is the degree measure of the first corner of a right-angled triangle?

3 * 9˚ = 27˚.

6. What is the second angle?

7 * 9˚ = 63˚.

Answer: the required angles of a right-angled triangle are 27˚ and 63˚.