Respuesta :

The required "option B) 60°" is correct.

Step-by-step explanation:

In question figure,

∠ YUV = 40°, ∠ XUY =  105° and ∠WUX =  155°

To find, the value of ∠ VUW = ?

We know that,

The circle having 360°

∴ ∠ VUW + ∠ YUV + ∠ XUY + ∠WUX = 360°

⇒ ∠ VUW + 40° + 105°+  155° = 360°

⇒ ∠ VUW + 300° = 360°

⇒ ∠ VUW = 360° -  300°

⇒ ∠ VUW = 60°

The value of ∠ VUW = 60°

Hence, the required "option B) 60°" is correct.