Question

given m||n, find the value of x.
(2x + 17)°
(10x - 5)°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(2x + 17=10x-5\).

Step2: Rearrange the equation

Subtract \(2x\) from both sides: \(17 = 10x-2x - 5\), which simplifies to \(17=8x - 5\).

Step3: Solve for \(x\)

Add 5 to both sides: \(17 + 5=8x\), so \(22 = 8x\). Then \(x=\frac{22}{8}=\frac{11}{4}=2.75\).

Answer:

\(x = 2.75\)