One of the angles of the triangle is 4 times smaller than the other and 30 degrees smaller than the third.

One of the angles of the triangle is 4 times smaller than the other and 30 degrees smaller than the third. find all the corners of the triangle.

Let the first angle of the triangle be “x” degrees.

The second angle is 4 times larger than the first, so the second angle is “4x” degrees.

The third angle is 30 degrees larger than the first, so the third angle is “x + 30” degrees.

Knowing that the sum of all the angles of the triangle is 180 °, we write the equation:

x + 4x + x + 30 = 180;

6x = 180 – 30;

6x = 150;

x = 150: 6;

x = 25.

x = 25 ° (first angle).

4x = 25 * 4 = 100 ° (second angle).

x + 30 = 25 + 30 = 55 ° (third angle).

Examination.

25 + 100 + 55 = 180.

180 = 180.