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

mYKZ

67

90

23

46

m∠YKZ = 90°

Step-by-step explanation:

PRYZ is a rhombus.

Property of a rhombus:

The diagonals of a rhombus are always perpendicular.

This means lines PY and RZ are perpendicular.

By definition of perpendicular lines, they intersect at right angle. Right angle has the measure of 90°, hence

m∠YKZ = 90°

a negative exponent is translated as follows:

so, we have