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nadezda [96]
3 years ago
15

Quadrilateral WXYZ is a square. If WT=6, find each measure?

Mathematics
1 answer:
pochemuha3 years ago
3 0

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°

<h2>In short : </h2>

ZX = 12

XY = 8.48528

m∠WTZ = 90°

m∠WYX = 45°

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