Question

Промінь ОА - бісетриса кута ВОС. Кут АОВ =240. Знайти кут ВОС?а) 240, б) 120, в) 480, г) 360

Answer 1

Ответ:

480⁰

Пошаговое объяснение:

угол BOC=AOB+COB

AOB=COB=240

BOC=240+240=480⁰

Answer 2

Ответ:

В) 480 бо бісектриса ділить кут навпіл на 2 частини:)

Answer 3

Problem Analysis

We are given that angle AOV is 240 degrees and we need to find the measure of angle VOS.

Solution

To find the measure of angle VOS, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since angle AOV is 240 degrees, we can subtract this from 180 degrees to find the sum of angles VOS and SOA.

Let's denote the measure of angle VOS as x. Then, the measure of angle SOA would be 180 - x.

According to the problem, angle AOV is 240 degrees. Therefore, we have the equation:

x + (180 - x) + 240 = 180

Simplifying the equation, we get:

420 - x = 180

To solve for x, we can subtract 180 from both sides:

420 - 180 - x = 180 - 180

240 - x = 0

Finally, we can solve for x by subtracting 240 from both sides:

240 - x - 240 = 0 - 240

-x = -240

Multiplying both sides by -1, we get:

x = 240

Therefore, the measure of angle VOS is 240 degrees.

Answer

The measure of angle VOS is 240 degrees (option a).

[SOURCE 1]