Question

Прямая KP пересекается с прямой MN сумма углов NOP и KON=206°. Найди угол NOK. Срочно надо) пожалуйста

Answer 1

Т.к ∠NOK= ∠МОР (по формуле вертекальных углов),Пусть х∠NOK= ∠МОР, значит
 2х+206 = 360 х=27

Answer 2

Problem Analysis

We are given that the line KP intersects with the line MN, and the sum of angles NOP and KON is 206°. We need to find the angle NOK.

Solution

To find the angle NOK, we can use the fact that the sum of angles around a point is 360°. Since NOP and KON are adjacent angles around point O, we can subtract their sum from 360° to find the measure of angle NOK.

Let's calculate the measure of angle NOK step by step:

1. Calculate the measure of angle NOP: - We are not given the measure of angle NOP directly, so we need to find it using other information. - Unfortunately, the search results provided by You.com do not contain any relevant information about the specific problem we are trying to solve. Therefore, we cannot cite any specific sources for this calculation.

2. Calculate the measure of angle KON: - We are given that the sum of angles NOP and KON is 206°. - Let's assume the measure of angle NOP is x°. - Therefore, the measure of angle KON is 206° - x°.

3. Calculate the measure of angle NOK: - The sum of angles around point O is 360°. - Therefore, the measure of angle NOK is 360° - (x° + (206° - x°)). - Simplifying the expression, we get: 360° - 206° = 154°.

Answer

The measure of angle NOK is 154°.

Please note that the calculation of angle NOP was not possible due to the lack of relevant information in the search results provided. However, we were able to calculate the measure of angle NOK based on the given information.