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find the value of x so that b || c. (there is a diagram with lines a, b…

Question

find the value of x so that b || c.
(there is a diagram with lines a, b, c and angles 16° and (4x)°)
x =
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Explanation:

Step1: Identify Alternate Interior Angles

For lines \( b \parallel c \), the angles \( 4x^\circ \) and \( 16^\circ \) are alternate interior angles, so they are equal. Thus, \( 4x = 16 \).

Step2: Solve for \( x \)

Divide both sides by 4: \( x=\frac{16}{4}=4 \).

Answer:

\( x = 4 \)