Question

2 find a. a x = 94 b x = 47 c x = 50 d x = 40

Explanation:

Step1: Use the triangle - angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((x + 8)+2x+(x - 14)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((x+2x + x)+(8 - 14)=180\), which gives \(4x-6 = 180\).

Step3: Solve for \(x\)

Add \(6\) to both sides: \(4x-6 + 6=180 + 6\), so \(4x=186\). Then divide both sides by \(4\): \(x=\frac{186}{4}=47\).

Answer:

B. \(x = 47\)