One corner of a triangle is three times the second and 30 degrees greater than the third angle.

One corner of a triangle is three times the second and 30 degrees greater than the third angle. Determine the angles of the triangle. Which triangle it is.

It is known that the sum of the angles of a triangle is 180 °.

Let the first angle be 3x, then the second x, and the third 3x – 30.

Let’s compose and solve the equation:

3x + x + 3x – 30 = 180;

7x – 30 = 180;

7x = 180 + 30;

7x = 210;

x = 210: 7;

x = 30 (°) – second angle.

30 × 3 = 90 (°) is the first corner.

90 – 30 = 60 (°) – third angle.

This triangle is rectangular.