Question

1. if wxyz is a square, find each angle.

m∠wxy = select °
m∠xzy = select °
m∠yxz = select °
m∠wrz = select °
m∠xwy = select °

Explanation:

Step1: Find m∠WXY

All angles in a square are right angles.
m∠WXY = 90°

Step2: Find m∠XZY

Diagonals bisect square's angles. ∠XZY = ½∠WZY = ½×90° = 45°

Step3: Find m∠YXZ

Diagonals bisect square's angles. ∠YXZ = ½∠WXZ = ½×90° = 45°

Step4: Find m∠WRZ

Diagonals of square are perpendicular. ∠WRZ = 90°

Step5: Find m∠XWY

Diagonals bisect square's angles. ∠XWY = ½∠ZWY = ½×90° = 45°

Answer:

m∠WXY = 90°
m∠XZY = 45°
m∠YXZ = 45°
m∠WRZ = 90°
m∠XWY = 45°