The two inner angles of the triangle are 4: 7, and the outer angle of the third corner is 121 degrees.

The two inner angles of the triangle are 4: 7, and the outer angle of the third corner is 121 degrees. Find the angles of the triangle.

Let the angle smaller than the required angle be determined by us through the expression 4a.

Therefore, according to the conditions of our assignment, the larger sought-after can be represented by us using the mathematical expression 7a.

But after all, from the conditions of this task, we know for sure that the external angle at the apex of the third vertex (and hence the sum of these angles) is 121 °, therefore, we can write down the equation and find out what the sought angles will be equal to:

4a + 7a = 121;

11a = 121;

a = 11;

4 * 11 = 44;

7 * 11 = 77.

Answer: They are equal to 44 ° and 77 °.