Let the degree measure of angle A be equal to x degrees, then the degree measure of angle B is equal to 4x degrees (if it is several times greater, then it is necessary to multiply), and the degree measure of angle C is equal to 7x degrees. According to the theorem on the sum of the angles of a triangle, the sum of the angles of a triangle ABC is equal to (x + 4x + 7x) degrees or 180 degrees. Let’s make an equation and solve it.
x + 4x + 7x = 180;
12x = 180;
x = 180: 12;
x = 15 ° – angle A;
4x = 15 * 4 = 60 ° – angle B;
7x = 15 * 7 = 105 ° – angle C.
Answer. ∠A = 15 °; ∠B = 60 °; ∠C = 105 °.
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