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got it? 4. what is the value of w for which c || d? 55° (3w - 2)°

Question

got it? 4. what is the value of w for which c || d? 55° (3w - 2)°

Explanation:

Step1: Identify angle - relationship

When $c\parallel d$, the given angles are corresponding angles and are equal. So, $3w - 2=55$.

Step2: Solve the equation for $w$

Add 2 to both sides of the equation: $3w-2 + 2=55 + 2$, which simplifies to $3w=57$.

Step3: Isolate $w$

Divide both sides of the equation $3w = 57$ by 3: $\frac{3w}{3}=\frac{57}{3}$, so $w = 19$.

Answer:

$19$