Question

submitting an external tool available until nov 17 at 11:59pm
given ( m | n ), find the value of ( x ).
answer attempt 1 out of 2
( x = )

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, the sum of same - side interior angles is \(180^{\circ}\). So, \((x - 17)+(3x + 1)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(x-17 + 3x+1=(x + 3x)+(-17 + 1)=4x-16\). The equation becomes \(4x-16 = 180\).

Step3: Solve for \(x\)

Add \(16\) to both sides of the equation: \(4x-16+16=180 + 16\), which gives \(4x=196\). Then divide both sides by \(4\): \(x=\frac{196}{4}\).

Answer:

\(x = 49\)