Respuesta :

m < P = m < S becuase the triangles are similar.

m < P = 86 degrees

Answer: [tex]86^{\circ}[/tex]

Step-by-step explanation:

Given : [tex]\triangle{STV}\sim\triangle{PQR}[/tex]

We know that the corresponding angles of two similar triangles are congruent.

i.e. [tex]\angle{S}\cong\angle{P}[/tex]                  (1)

[tex]\angle{T}\cong\angle{Q}[/tex]

[tex]\angle{V}\cong\angle{R}[/tex]

From the given picture , we have [tex]\angle{S}=86^{\circ}[/tex]

Then from (1), [tex]\angle{P}=86^{\circ}[/tex]

Hence, [tex]\angle{P}=86^{\circ}[/tex]

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