Answer:
6; 12; 8.5; 90°; 90°; 45°; 45°
Step-by-step explanation:
A square has all sides the same length, and diagonals the same length. The diagonals bisect the right angles in the corners, and they cross at right angles.
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As you have already observed, ...
BW = DW = 6
AC = BD = 2(DW) = 2(6) = 12
Further, ...
DA = DC = 8.5 . . . . sides of a square are the same length
∠DWA = 90° . . . . . diagonals cross at right angles
∠ABC = 90° . . . . . corner angles are right angles
∠ABD = 45° . . . . . the diagonal cuts the corner angle in half
∠DCA = 45° . . . . . all of the acute angles are congruent
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Additional comment
A square is a rhombus that is also a rectangle. The relevant characteristics are ...
- all sides of a rhombus are congruent
- the diagonals of a rhombus cross at right angles. Each bisects the vertex angles at either end, which are congruent.
- the corner (vertex) angles of a rectangle are right angles
