Question

Сумма вертикальных углов AOCи BOK , образованных при пересечении прямых AK и BC равна 166 . найдите AOB

Answer 1

Т.к АОС=ВОС=166:2=83°(т.к вертик)
угол АОВ= 180-83=97°(т.к угол АОВ и угол ВОК смежные)

Answer 2

Calculation of the Angle AOB

To find the angle AOB, we need to determine the sum of the vertical angles AOC and BOK, which are formed by the intersection of the lines AK and BC.

Let's denote the angle AOC as x and the angle BOK as y.

According to the given information, the sum of the vertical angles AOC and BOK is equal to 166.

Therefore, we can write the equation:

x + y = 166

Unfortunately, the search results did not provide specific information about the values of x and y. However, we can solve the equation by using the information available.

Please note that without additional information or context, it is not possible to determine the exact values of x and y, and consequently, the angle AOB.

If you have any additional information or context, please provide it, and I will be happy to assist you further.