Question

Найдите углы АОВ и ВОС, если <АОВ на 40° больше, чем <ВОС, а <АОС - развернутый. Сделайте чертеж.

Answer 1

                         /В
                       /
      _______/_________
 А                О                С
<BOC-x,<AOC-x+40
x+x+40=180
2x+40=180
2x=180-40
2x=140
x=140^2
x=70-<BOC
70+40=110-<AOB

Answer 2

Finding the Angles AOV and VOS

To find the angles AOV and VOS, we need to use the given information:

- Angle AOV is 40° larger than angle VOS. - Angle AOS is a straight angle (180°).

Let's denote angle VOS as x. Then, angle AOV can be expressed as x + 40°.

Since angle AOS is a straight angle, we can write the equation:

x + (x + 40°) = 180°

Simplifying the equation:

2x + 40° = 180°

Subtracting 40° from both sides:

2x = 140°

Dividing both sides by 2:

x = 70°

Therefore, angle VOS is 70°, and angle AOV is 70° + 40° = 110°.

Diagram

Unfortunately, I couldn't find a specific diagram for this problem. However, I can describe the diagram for you:

1. Draw a straight line segment OV. 2. Mark a point A on one side of OV. 3. Draw a ray OS on the other side of OV, forming an angle VOS. 4. Extend the ray OA beyond point A to form an angle AOV.

Please note that the diagram is a visual representation and may help you visualize the problem better.

I hope this helps! Let me know if you have any further questions.