Question

In quadrilateral WXYZ, what is the degree measurement of x?

• A. 60°
• B. 75°
• C. 80°
• D. 90°
• E. 120°

Answer 1

The Correct Option is C

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°