Question

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for what value of x is line a parallel to line b?
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x =
(2x + 20)°, 100°, 80° with lines a, b and a transversal

Explanation:

Step1: Identify angle relationship

For lines \(a\) and \(b\) to be parallel, the corresponding angles (or supplementary angles in this case) should satisfy the parallel line condition. Here, \((2x + 20)^\circ\) and \(100^\circ\) should be equal (since they are corresponding or alternate interior angles for parallel lines). So we set up the equation: \(2x + 20 = 100\).

Step2: Solve for \(x\)

Subtract 20 from both sides: \(2x = 100 - 20 = 80\). Then divide both sides by 2: \(x=\frac{80}{2}=40\).

Answer:

\(40\)