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Let's begin by identifying key information given to us:

The altitude BT bisects Line AC to form a right-angle (90 degrees)


\angle BTA=((1)/(3)x-7)

Since we know that angle BTA is 90 degrees, we proceed to solve as shown below:


\begin{gathered} \angle BTA=90^(\circ) \\ ((1)/(3)x-7)=90 \\ \text{Add ''7'' to both sides, we have:} \\ (1)/(3)x=90+7 \\ (1)/(3)x=97 \\ x=97*3=291 \\ x=291 \end{gathered}

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