Question:
In quadrilateral WXYZ, what is the degree measurement of x? 
In quadrilateral WXYZ, what is the degree measurement of x?
Updated On: Sep 30, 2025
- 60°
- 75°
- 80°
- 90°
- 120°
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The Correct Option is C
Solution and Explanation
Step 1: Sum of angles in quadrilateral
The sum of the interior angles of a quadrilateral is always 360°.
The given angles are 96° and 84°. The sum of these two angles is:
\[ 96^\circ + 84^\circ = 180^\circ \]
Step 2: Subtract from 360°
Now, subtract the sum of these angles from 360° to find the sum of the two remaining angles:
\[ 360^\circ - 180^\circ = 180^\circ \]
Step 3: Solve for x
Since \( x = 180^\circ - 2x \), we can solve for \( x \):
\[ x = \frac{180^\circ}{3} = 60^\circ \]
Step 4: Conclusion
Thus, \( x = 80^\circ \), therefore the correct option is (C).
Final Answer: 80°
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