Question

АС и ВД- диаметры окружности с центром О. Угол АСВ равен 79. найдите угол AOD. ответ в градусах.

Answer 1

Угол С и угол ВОА упираются на одну и ту же дугу ВА. Угол С   -вписанный, угол ВОА -центральный Значит угол ВОА равен 79*2=158 градусов
Найдем угол  АОD
180-158=22 градуса.

Answer 2

1) дуга АС делит окружность на две дуги АВС и на АDС по 180° каждая.
2) дуга АВ = 158°, т.к. угол АВС - вписанный.
3) дуга ВС = 180-158= 22°
4) угол ВОС= углу АОD и равны 22°, т.к. углы вертикальные и так же центральные

Answer 3

Finding the Angle AOD

To find the angle AOD, we need to use the information given about the circle with center O and the angle ASV.

Unfortunately, the search results provided do not directly mention the angle AOD or provide a formula to calculate it. However, we can use the information available to find a solution.

Let's analyze the given information step by step:

1. We have a circle with center O. 2. We are given the angle ASV, which is equal to 79 degrees.

Based on this information, we can make the following observations:

1. The angle ASV is an inscribed angle, and its measure is half the measure of the intercepted arc AV. 2. The angle AOD is also an inscribed angle, and its measure is half the measure of the intercepted arc AD.

Since the angle ASV is given as 79 degrees, we can conclude that the intercepted arc AV has a measure of 158 degrees (twice the angle ASV).

Now, we need to find the measure of the intercepted arc AD, which will help us determine the angle AOD.

Unfortunately, the search results do not provide a direct formula or information to calculate the measure of the intercepted arc AD. Therefore, we cannot determine the exact measure of the angle AOD without additional information.

To find the angle AOD, we would need either the measure of the intercepted arc AD or another piece of information related to the circle or the angles involved.

If you have any additional information or if there is anything else I can assist you with, please let me know!