Question

given m||n, find the value of x. answer: attempt 1 out of 2

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\), the corresponding angles are equal. So, \(3x - 10=x - 30+180\).

Step2: Simplify the equation

First, simplify the right - hand side of the equation: \(3x - 10=x + 150\).

Step3: Isolate the variable x

Subtract \(x\) from both sides: \(3x−x - 10=x−x + 150\), which gives \(2x-10 = 150\). Then add 10 to both sides: \(2x-10 + 10=150 + 10\), so \(2x=160\). Divide both sides by 2: \(x=\frac{160}{2}=80\).

Answer:

80