Question

Найдите угол МОB , если угол АОМ= 25 градусов , и угол АОМ : МОВ =4:5 помогите ответ= 31,15 градусов напишите решение

Answer 1

25/x=4/5
x=25*5/4=125/4=31 1/4=31гр 15мин

Answer 2

Finding the Angle MOB

To find the angle MOB, we can use the given information that the angle AOM is 25 degrees and the ratio of angle AOM to angle MOB is 4:5.

Let's calculate the angle MOB step by step:

1. First, we need to find the total of the ratio parts, which is 4 + 5 = 9. 2. Then, we can find the measure of each part of the ratio by dividing the total angle AOM by the total parts: 25 / 9 = 2.7778 degrees per part. 3. Finally, we can find the measure of angle MOB by multiplying the number of parts for MOB (which is 5) by the measure of each part: 5 * 2.7778 = 13.8889 degrees.

So, the angle MOB is approximately 13.89 degrees.

This calculation is based on the given information and the principles of calculating angles using ratios.

Cited Sources

- Source "First, we need to find the total of the ratio parts, which is 4 + 5 = 9." - Source "Then, we can find the measure of each part of the ratio by dividing the total angle AOM by the total parts: 25 / 9 = 2.7778 degrees per part." - Source "Finally, we can find the measure of angle MOB by multiplying the number of parts for MOB (which is 5) by the measure of each part: 5 * 2.7778 = 13.8889 degrees."