Question

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

1. KY
2. PK
3. mZYKZ
4. m2PZR

Answer 1

In a PRYZ rhombus, KY = RY = 13, m∠ZYKZ = 90°, and m∠2PZR = 113°.

Step-by-step explanation:

To find the measures in the PRYZ rhombus, we can use the properties of a rhombus and the given information. First, since PRYZ is a rhombus, opposite sides are equal. Therefore, KY = RY = 13. Second, the diagonals of a rhombus bisect each other at a right angle. So, m∠ZYKZ = 90°. Finally, the diagonals of a rhombus are perpendicular bisectors of each other. Since m∠ZYRZ = 67°, m∠2PZR = 180° - 67° = 113°.