The magnitude of one corner of triangle ABC is 4 times greater, and angle C is 7 times greater

The magnitude of one corner of triangle ABC is 4 times greater, and angle C is 7 times greater than A. Find all the angles of triangle ABC.

From the condition of the problem it is clear that the smallest angle in the triangle is the angle A, we denote it by x. Then the other two angles will be: B = 4x, C = 7x.
Knowing that the sum of the catch of the triangle is 180 °, we can write the equation:
x + 4x + 7x = 180
12x = 180
x = 15 is the angle A;
angle B = 4x = 4 * 15 = 60 °;
angle C = 7x = 7 * 15 = 105 °.
Check: 15 ° + 60 ° + 105 ° = 180 °
Answer: angle A 15 °, angle B 60 °, angle C 105 °.