Question

find the value of x for which m || n. the value of x for which m || n is

(4x - 29)°

(3x + 16)°

m

n

Explanation:

Step1: Use corresponding - angles property

When \(m\parallel n\), the corresponding angles are equal. So, we set up the equation \(4x - 29=3x + 16\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(4x-3x - 29=3x-3x + 16\), which simplifies to \(x-29 = 16\).
Then add 29 to both sides: \(x-29 + 29=16 + 29\).

Answer:

\(x = 45\)