Question

given m||n, find the value of x. (4x - 6)° (4x+10)° answer attempt 1 out of 2 x =

Explanation:

Step1: Use property of parallel lines

When two parallel lines are cut by a transversal, the corresponding angles are equal. Here, the two given angles $(4x - 6)^{\circ}$ and $(4x+10)^{\circ}$ are supplementary (linear - pair of angles), so $(4x - 6)+(4x + 10)=180$.

Step2: Simplify the equation

Combine like - terms: $4x+4x-6 + 10=180$, which simplifies to $8x+4 = 180$.

Step3: Isolate the variable term

Subtract 4 from both sides of the equation: $8x=180 - 4$, so $8x=176$.

Step4: Solve for x

Divide both sides by 8: $x=\frac{176}{8}=22$.

Answer:

$22$