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1. find the value of x. m (8x - 17)° n (6x - 23)° p (3x - 1)°

Question

  1. find the value of x. m (8x - 17)° n (6x - 23)° p (3x - 1)°

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((8x - 17)+(6x - 23)+(3x - 1)=180\).

Step2: Combine like terms

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Step3: Solve for \(x\)

Add \(41\) to both sides: \(17x=180 + 41=221\). Then divide both sides by \(17\): \(x=\frac{221}{17}=13\).

Answer:

\(x = 13\)