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given $m\\parallel n$, find the value of x. $(4x-3)^\\circ$ $(3x+22)^\\…

Question

given $m\parallel n$, find the value of x.
$(4x-3)^\circ$
$(3x+22)^\circ$
answer attempt 2 out of 2
$x = $

Explanation:

Step1: Identify alternate exterior angles

Since \(m \parallel n\), \((4x-3)^\circ\) and \((3x+22)^\circ\) are alternate exterior angles, so they are equal.

Step2: Set up equation

$$4x - 3 = 3x + 22$$

Step3: Solve for x

Subtract \(3x\) from both sides: \(x - 3 = 22\)
Add 3 to both sides: \(x = 22 + 3\)

Answer:

25