Question

given... value of x.
(6x+4)°
(8x-6)°
answer attempt 1 out of 2
x =
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Explanation:

Step1: Identify the relationship

Since lines \( m \) and \( n \) are parallel (implied by the transversal \( t \) creating corresponding angles), the two angles \( (6x + 4)^\circ \) and \( (8x - 6)^\circ \) are equal (corresponding angles postulate). So we set up the equation:
\( 6x + 4 = 8x - 6 \)

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides:
\( 4 = 2x - 6 \)

Add 6 to both sides:
\( 10 = 2x \)

Divide both sides by 2:
\( x = 5 \)

Answer:

\( x = 5 \)