Question:
In the figure shown, what is the value of \( v + x + y + z + w \)?
In the figure shown, what is the value of \( v + x + y + z + w \)?
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When working with geometrical figures, use the properties of angles to calculate unknown sums.
Updated On: Oct 3, 2025
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The Correct Option is B
Solution and Explanation
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: \[ 360 \div 4 = 90 \] \[ \boxed{90} \]
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: \[ 360 \div 4 = 90 \] \[ \boxed{90} \]
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