Question

Луч ОС делит прямой угол АОВ так что угол АОС на 25 градусов больше угла ВОС. Найти угол ВОС.

Answer 1

(х+47)+х=90
2х=43
х=21,5.
ВОС = 21,5

Answer 2

Finding the Angle VOS

To find the angle VOS, we need to use the information given in the question. Let's break down the problem step by step.

1. We are given that angle AOS is 25 degrees larger than angle VOS. 2. Let's assume that angle VOS is x degrees. 3. According to the given information, angle AOS is x + 25 degrees.

Now, we can set up an equation to solve for x.

The sum of the angles in a triangle is 180 degrees. In triangle VOS, we have:

VOS + VSO + OSV = 180 degrees

Since angle VSO is the same as angle VOS, we can rewrite the equation as:

VOS + VOS + OSV = 180 degrees

Simplifying the equation, we get:

2VOS + OSV = 180 degrees

Now, we can substitute the values we have:

2x + (x + 25) = 180 degrees

Simplifying further:

3x + 25 = 180 degrees

Subtracting 25 from both sides:

3x = 155 degrees

Dividing both sides by 3:

x = 51.67 degrees

Therefore, the angle VOS is approximately 51.67 degrees.

Conclusion

In conclusion, the angle VOS is approximately 51.67 degrees.