PRYZ is a rhombus. If RK = 5, RY = 13 and mYRZ = 67, find each measure.
mYKZ
67
90
23
46

Answer:
∠YKZ = 90°
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other. All angles at K are right angles.
∠YKZ = 90°
_____
Additional comment
YK is 12, ∠RYZ = 23°
You can use the fact that there are four symmetrical( can be reflected) figures if we draw diagonals in a rhombus, resulting in the middle angles between each diagonals to be of 90 degrees.
The measure of given angle is
[tex]\angle YKZ = 90^\circ[/tex]
The diagonals of a rhombus are perpendicular to each other.
By the aforesaid property, we have:
[tex]\angle YKZ = \angle YKR = \angle RKP = \angle PKZ = 90^\circ[/tex]
Thus,
The measure of given angle is
[tex]\angle YKZ = 90^\circ[/tex]
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