Question

formal proofs > using proofs about angles
find the value of x.
(1 point)
0 8
0 8.4
0 - 2
0 88

Explanation:

Step1: Use the property of same - side interior angles

Since lines \(m\) and \(l\) are parallel and cut by transversal \(k\), the sum of same - side interior angles is \(180^{\circ}\). So, \(10x+(12x + 4)=180\).

Step2: Simplify the equation

Combine like terms: \(10x+12x+4 = 180\), which gives \(22x+4=180\).

Step3: Solve for \(x\)

Subtract \(4\) from both sides: \(22x=180 - 4=176\). Then divide both sides by \(22\): \(x=\frac{176}{22}=8\).

Answer:

\(x = 8\)