Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((6x + 3)^{\circ}\) and \((5x+10)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(6x + 3=5x + 10\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation: \(6x-5x+3=5x - 5x+10\), which simplifies to \(x+3 = 10\). Then subtract 3 from both sides: \(x=10 - 3\).

Answer:

\(x = 7\)