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

Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the two given angles \((7x + 30)^{\circ}\) and \((8x+9)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(7x + 30=8x + 9\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides of the equation: \(30=x + 9\). Then subtract 9 from both sides: \(x=30 - 9\).

Answer:

\(x = 21\)