Answer :

We are told that the measure of angle PQS is 136 degrees.

We see that the measure of angle PQS is the sum of the measures of angle;

PQR and RQS.

Thus;

[tex]\begin{gathered} 3x+49=136 \\ 3x=136-49 \\ 3x=87 \\ \text{divide both sides by 3 to obtain} \\ x=29 \end{gathered}[/tex]

Therefore, x = 29

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