Question

b. 96° 2x x + 12°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. So, $96^{\circ}+2x+(x + 12^{\circ})=180^{\circ}$.

Step2: Combine like - terms

Combine the constant terms and the $x$ - terms: $(96^{\circ}+ 12^{\circ})+(2x+x)=180^{\circ}$, which simplifies to $108^{\circ}+3x = 180^{\circ}$.

Step3: Isolate the variable $x$

Subtract $108^{\circ}$ from both sides: $3x=180^{\circ}-108^{\circ}$, so $3x = 72^{\circ}$. Then divide both sides by 3: $x=\frac{72^{\circ}}{3}=24^{\circ}$.

Answer:

$x = 24^{\circ}$