Question

Сумма вертикальных углов МОЕ и ДОС , равна 104 градусам. Найдите угол МOD

Answer 1

180-104=76. Тк они смежные. ОТВЕТ : 76 

Answer 2

Calculating Angle MOD

To find the angle MOD, we can use the fact that the sum of the vertical angles MOE and DOS is equal to 104 degrees.

Given the information provided, we can calculate the angle MOD using the following steps:

1. First, we need to find the measures of the angles MOE and DOS. 2. Then, we can use the relationship between vertical angles to find the measure of the angle MOD.

Let's proceed with the calculations:

Step 1: Finding the Measures of Angles MOE and DOS - From the provided information, we have the following relevant angles: - AOB = 130 degrees [[3 #]] - DOC = 204 degrees [[3 #]]

To find the measures of angles MOE and DOS, we can use the relationship between vertical angles. Vertical angles are always equal, so we can set up the following equation: MOE = AOB = 130 degrees DOS = DOC = 204 degrees

Step 2: Calculating the Angle MOD - Now that we have the measures of angles MOE and DOS, we can find the measure of the angle MOD using the fact that the sum of the angles around a point is 360 degrees. - MOD = 360 - (MOE + DOS)

Let's calculate the measure of the angle MOD: MOD = 360 - (130 + 204) = 360 - 334 = 26 degrees

Therefore, the measure of the angle MOD is 26 degrees.

This calculation is based on the provided information and the principles of geometry.