Respuesta :

Answer:

x = 95°

Step-by-step explanation:

[tex] m\angle Q = 360\degree - 235\degree = 125\degree \\[/tex]

Produce QR In such a way that it intersects ray ST at any point say M.

PQ || ST... (given) and Seg QM is transversal.

[tex] \therefore m\angle PQM + m\angle SMQ = 180\degree \\(interior \: \angle \:Postulate) \\

\therefore 125\degree + m\angle SMQ = 180\degree \\

\therefore m\angle SMQ = 180\degree -125\degree \\

\therefore m\angle SMQ = 55\degree \\

In\: \triangle SMR, \: x \: is \:exterior \: \angle \\

\therefore x = 40\degree + 55\degree \\

\huge \purple {\boxed {\therefore x = 95\degree}} [/tex]

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