question given m||n, find the value of x.
question given m||n, find the value of x.
Answer
Explanation:
Step1: Use property of parallel lines
When two parallel lines (m) and (n) are cut by a transversal (t), the corresponding - angles are equal. Here, ((x - 25)^{\circ}) and ((4x+10)^{\circ}) are corresponding angles. So, (x - 25=4x + 10).
Step2: Rearrange the equation
Subtract (x) from both sides: (-25 = 4x - x+10), which simplifies to (-25 = 3x+10).
Step3: Solve for (x)
Subtract 10 from both sides: (-25 - 10=3x), so (-35 = 3x). Then divide both sides by 3: (x=-\frac{35}{3}).
Answer:
(x =-\frac{35}{3})