Question

∠AOB=120°, ∠AOD=31°, ∠COB=40°. Найдите ∠COB

Answer 1

Ответ:169

Объяснение:

У 4х угольника сумма всех углов равна 360°

COB=360-(120+31+40)=169

Answer 2

It seems there might be a typo in your question, as you mentioned ∠COB=40° twice. I assume one of the angles you meant to mention is ∠COD. Please confirm if that's the case, and I'll be happy to help you find the value of the missing angle.

If you meant to say ∠COB=40° and ∠COD is the missing angle, then we can proceed with the calculation. Let's use the information provided to find ∠COD.

We have: ∠AOB = 120° ∠AOD = 31° ∠COB = 40°

To find ∠COD, we can use the fact that the sum of angles around a point is 360°. Since point O is a common vertex for angles ∠AOB, ∠AOD, ∠COB, and ∠COD, we can set up the equation:

∠AOB + ∠AOD + ∠COB + ∠COD = 360°

Now, plug in the given values:

120° + 31° + 40° + ∠COD = 360°

Combine like terms:

191° + ∠COD = 360°

Now, isolate ∠COD by moving 191° to the other side of the equation:

∠COD = 360° - 191° ∠COD = 169°

So, ∠COD measures 169°.