Question

Сума вертикальных углов MOE и DOC ,образованных при пересечение прямых MC и DE, равно 204 градуса .Найдите угол MOD.

Answer 1

Угол MOD = (360 - 204) : 2 = 156:2 = 78.

Answer 2

Calculation of Angle MOD

To find the angle MOD, we need to determine the sum of the vertical angles MOE and DOC, which is given as 204 degrees.

Let's assume that angle MOE is x degrees. Since vertical angles are congruent, angle DOC will also be x degrees. Therefore, the sum of MOE and DOC is 2x degrees.

According to the given information, the sum of MOE and DOC is 204 degrees. So, we can set up the equation:

2x = 204

To find the value of x, we divide both sides of the equation by 2:

x = 102

Therefore, angle MOE and angle DOC are both 102 degrees.

Now, we can find the angle MOD. Angle MOD is formed by the intersection of lines MC and DE. Since angle MOE and angle DOC are vertical angles, angle MOD is also equal to angle MOE, which is 102 degrees.