Find the sharp corners of a right triangle if one of them is 60 degrees larger than the others.

A right-angled triangle is a right-angled (90 °) triangle. The sum of the angles in any triangle is always 180 ° (according to the property of triangles). Let’s solve the problem using the equation, where:

x ° – the first acute angle of a right-angled triangle;

Then:

(x + 60) ° – the second corner of a right-angled triangle (since it is 60 ° larger than the other);

Let’s compose and solve the equation:

x + (x + 60) + 90 = 180;

x + x + 60 + 90 = 180;

2x + 150 = 180;

2x = 180 – 150;

2x = 30;

x = 30/2;

x = 15 ° – the first acute angle;

x + 60 = 15 + 60 = 75 ° – the second acute angle;

Answer: 15 °; 75 °.