Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

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

Question

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

Explanation:

Step1: Use corresponding - angles property

When \(m\parallel n\), the corresponding angles are equal. So, we set up the equation \(3x - 35=2x + 21\).

Step2: Isolate the variable \(x\)

Subtract \(2x\) from both sides of the equation: \(3x-2x-35 = 2x-2x + 21\), which simplifies to \(x-35=21\).

Step3: Solve for \(x\)

Add 35 to both sides of the equation: \(x-35 + 35=21+35\), so \(x = 56\).

Answer:

56