Question

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

Answer 1

Angle R is 75 degrees and length of ZP is 6.

Explanation:

Answer 2

`ZP=6, m\angle R=75\textdegree`

Explanation:

By CPCTC,
`RH` and
`ZP` are congruent, so they have the same length by the definition of congruency. This means that
`ZP=RH=6`.

Again, by CPCTC,
`\angle Z` and
`\angle R` are congruent, so they have the same measure by the definition of congruency. This means that
`m\angle R=m\angle Z=75\textdegree`. Hope this helps!