Quadrilateral WXZY is a square. If YX = 30 and WT = 2x – 7, then find the value of x.

Question

(Points : 2)
4
18.5
11
15

or
Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If the measure of angle JKL is 104o, find the measure of angle JKN.
(Points : 2)
52°
104°
26°
76°

Answer 1

If by WT you mean WZ, the since the diagonals of a square are equal,

30 = 2x-7
2x = 37
x = 18.5

For the second one, remember that the diagonals of a rhombus bisect the corner angles.

So, JKN = LKN = 52°

Answer 2

Quadrilateral WXZY is a square. If YX = 30 and WT = 2x – 7, then find the value of x.