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

In the diagram, figure ARHV is congruent to figure LZPC. What is the length of side-example-1

2 Answers

4 votes

Answer:

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

Explanation:

User Mani Gandham
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3.2k points
3 votes

Answer:


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!

User Ben Muircroft
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3.3k points