Answer:
[tex]x=14[/tex]
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
△MON≅△PQR
so
corresponding sides
MO≅PQ
MN≅PR
ON≅QR
corresponding angles
∠M≅∠P
∠O≅∠Q
∠N≅∠R
therefore
MN=PR
substitute the given values
[tex]32=3x-10[/tex]
solve for x
[tex]3x=32+10[/tex]
[tex]3x=42[/tex]
[tex]x=14[/tex]
