question\ngiven ( mparallel n ), find the value of x.\nanswer\nattempt 1 out of 2\n( x=)

Answer:

(x = 80)

Explanation:

Step1: Use the property of consecutive interior angles

When (m\parallel n), the sum of consecutive interior angles is (180^{\circ}). So, ((x - 30)+(3x - 10)=180).

Step2: Simplify the equation

Combine like - terms: (x+3x-30 - 10=180), which gives (4x-40 = 180).

Step3: Solve for (x)

Add (40) to both sides: (4x=180 + 40), so (4x=220). Then divide both sides by (4): (x=\frac{220}{4}=80).