Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

given $m||n$, find the value of x. answer attempt 1 out of 2 $x=$

Question

given $m||n$, find the value of x.
answer attempt 1 out of 2
$x=$

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, the corresponding angles are equal. So, \(3x + 25=6x-5\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(25 = 3x-5\).
Add \(5\) to both sides: \(30=3x\).
Divide both sides by \(3\): \(x = 10\).

Answer:

\(10\)