We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,
= ZX = 2 × 6
= ZX = 12 ( ZX is a diagonal )
Side XY =
XY = √2 d/2
XY = √2 . 12/2
XY = 8.48528
m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )
m∠WTZ = 90°
m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )
Therefore , m∠WYX = 45°
ZX = 12
m∠WYX = 45°
You forgot to include the options. This might help, though.
