Question

Луч OK делит L DOC на 2 угла . НАЙДИТЕ L COK если L DOC =120° а L KOD на 12° > чем COK

Answer 1

Пусть ∠СОК-х градусов  тогда∠КОД-х+12  их сумма равна 120
х+х+12=120
2х=108
х=54
 Ответ ∠СОК=54°

Answer 2

Solving for Angle COK

To find the value of angle COK, we can use the relationship between the angles in a triangle. Let's start by breaking down the given information and solving for angle COK step by step.

Given: - Angle DOC = 120° - Angle KOD = 12°

Finding Angle COK

In triangle DOK, the sum of all angles is 180°. We can use this property to find the value of angle COK.

First, we find the value of angle KOD: - Angle KOD = 12°

Next, we can find the value of angle DOK: - Angle DOC = 120° - Angle KOD = 12° - Using the fact that the sum of angles in a triangle is 180°, we can find angle DOK: - Angle DOK = 180° - (Angle DOC + Angle KOD) - Angle DOK = 180° - (120° + 12°) - Angle DOK = 180° - 132° - Angle DOK = 48°

Now, we can find the value of angle COK: - Angle COK = 180° - (Angle DOC + Angle DOK) - Angle COK = 180° - (120° + 48°) - Angle COK = 180° - 168° - Angle COK = 12°

Conclusion

The value of angle COK is 12°.