In quadrilateral WXYZ , m∠ W=42°, m∠ X=138° , and m∠ Y=42°. Find m∠ Z. m∠ Z=□°

Answer 1

To find m∠ Z, we need to use the fact that the sum of the interior angles in a quadrilateral is always 360 degrees.

m∠ W + m∠ X + m∠ Y + m∠ Z = 360°

Plugging in the given values, we have:

42° + 138° + 42° + m∠ Z = 360°

Simplifying the equation:

222° + m∠ Z = 360°

Subtracting 222° from both sides:

m∠ Z = 360° - 222°

m∠ Z = 138°

Therefore, m∠ Z = 138°.