Answer:
Measure of angle ∠WXY = 107°
Explanation:
Given a WXYZ with measure of ∠Y = ∠Z = 90° and ∠W=73°.
We have to find measure of ∠X .
Since, WXYZ is a closed figure having 4 sides, so it is a quadrilateral.
ANGLE SUM PROPERTY OF QUADRILATERAL
Sum of angles of a quadrilateral is always 360°
Thus, applying angle sum property to the given quadrilateral.
∠Y + ∠Z + ∠W + ∠X = 360°
90° + 90° + 73° + ∠X = 360°
253° + ∠X = 360°
∠X = 360° -253°
∠X = 107°
Thus, measure of angle ∠WXY = 107°