Question

Угол АБС имеет 120 градусов. БЕ делит угол на 2 части по пропорции 5:7. Чему будут равны углы после деления?

Answer 1

5+7=12

120°:12=10°

Значит первый уголABE 5*10°=50°

Второй угол EBC 7*10°=70°

Answer 2

#### Problem Analysis We are given that angle ABS measures 120 degrees, and BE divides the angle into two parts in the ratio of 5:7. We need to find the measures of the angles after the division. #### Solution Let's assume that the measure of angle ABS is x degrees. According to the given information, BE divides the angle into two parts in the ratio of 5:7. This means that the measure of angle ABE is (5/12)x degrees, and the measure of angle EBS is (7/12)x degrees. To find the measures of the angles after the division, we need to substitute the value of x with 120 degrees. #### Calculation Let's calculate the measures of the angles after the division. - Measure of angle ABE = (5/12) * 120 = 50 degrees - Measure of angle EBS = (7/12) * 120 = 70 degrees Therefore, after the division, angle ABE measures 50 degrees and angle EBS measures 70 degrees. #### Answer After dividing angle ABS into two parts in the ratio of 5:7, angle ABE measures **50 degrees** and angle EBS measures **70 degrees**.