In quadrilateral WXYZ , m∠ W=42°, m∠ X=138° , and m∠ Y=42°. Find m∠ Z. m∠ Z=□°. Is WXYZ a parallelogram
To find the measure of angle Z, we can use the fact that the sum of the angles in a quadrilateral is 360 degrees.
In quadrilateral WXYZ, we know that m∠ W = 42°, m∠ X = 138°, and m∠ Y = 42°.
So, the sum of the measures of these three angles is 42° + 138° + 42° = 222°.
To find m∠ Z, we subtract this sum from 360°: 360° - 222° = 138°.
Therefore, m∠ Z = 138°.
As for whether WXYZ is a parallelogram, we cannot determine this based on the given information. A quadrilateral is a parallelogram if both pairs of opposite sides are parallel. The information given about angle measures does not provide enough information about the sides of the quadrilateral to determine if it is a parallelogram.