Question

In the figure shown, what is the value of \( v + x + y + z + w \)? 

• A. 45
• B. 90
• C. 180
• D. 270
• E. 360

Hint:

When working with geometrical figures, use the properties of angles to calculate unknown sums.

Answer 1

The Correct Option is B

Step 1: Understand the figure.
The total sum of the angles in a star-shaped figure is 360 degrees. The sum of the angles \( v + x + y + z + w \) is part of this total.
Step 2: Calculate the total.
Since the total angles in the figure sum to 360 degrees, the value of \( v + x + y + z + w \) is: \[ 360 \div 4 = 90 \] \[ \boxed{90} \]