In the diagram, figure ARHV is congruent to figure LZPC. What is the length of side ZP and the measure of angle R?

Answer:
Angle R is 75 degrees and length of ZP is 6.
Step-by-step explanation:
Answer:
[tex]ZP=6, m\angle R=75\textdegree[/tex]
Step-by-step explanation:
By CPCTC, [tex]RH[/tex] and [tex]ZP[/tex] are congruent, so they have the same length by the definition of congruency. This means that [tex]ZP=RH=6[/tex].
Again, by CPCTC, [tex]\angle Z[/tex] and [tex]\angle R[/tex] are congruent, so they have the same measure by the definition of congruency. This means that [tex]m\angle R=m\angle Z=75\textdegree[/tex]. Hope this helps!