One angle is 18 ° more than the second, and the third angle is 30 ° less than the second angle.

One angle is 18 ° more than the second, and the third angle is 30 ° less than the second angle. Find the degree measures of the angles of the triangle.

Let’s denote x – the unknown angle of the triangle, then (x – 18 °) – the second angle, and (x – 18 ° – 30 °) the third angle. Let’s compose and solve the equation:

x + (x – 18 °) + (x – 18 ° – 30 °) = 180 °;

x + x – 18 ° + x – 18 ° – 30 ° = 180 °;

x + x + x = 180 ° + 18 ° + 18 ° + 30 °;

3x = 246 °;

x = 246 °: 3;

x = 82 °;

82 ° is the first corner of the triangle;

82 ° – 18 ° = 64 ° is the second corner of the triangle;

64 ° – 30 ° = 34 ° third corner of the triangle;

Answer: 82 °, 64 °. 34 ° are the angles of the triangle.