Question

Помогите, срочно!!!!!!!!!!!!!!!!!!Угол АОВ=68 градусов, внутри этого угла проведен луч ОС. Найдите угол между биссектрисами углов АОС и ВОС.

Answer 1

АОС 34 градуса ВОС 34 градуса

Answer 2

Finding the Angle Between Bisectors

To find the angle between the bisectors of angles AOS and BOS, we can use the angle bisector theorem. This theorem states that the angle bisector of an angle in a triangle divides the opposite side in the ratio of the adjacent sides. Let's proceed with the solution.

Given Information

- Angle AOV = 68 degrees - Ray OS is drawn inside angle AOV

Solution

To find the angle between the bisectors of angles AOS and BOS, we need to determine the measures of angles AOS and BOS first.

1. Finding Angle AOS: - Angle AOS is half of angle AOV because OS is the angle bisector. - Angle AOS = 68 degrees / 2 = 34 degrees

2. Finding Angle BOS: - Angle BOS is also half of angle AOV because OS is the angle bisector. - Angle BOS = 68 degrees / 2 = 34 degrees

3. Finding the Angle Between Bisectors: - The angle between the bisectors of angles AOS and BOS is the difference between the two angles. - Angle between bisectors = |Angle AOS - Angle BOS| - Angle between bisectors = |34 degrees - 34 degrees| = 0 degrees

Therefore, the angle between the bisectors of angles AOS and BOS is 0 degrees.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.