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29) solve for x. 40° (4x)° x = ____

Question

  1. solve for x. 40° (4x)° x = ____

Explanation:

Step1: Identify angle - relationship

The two angles \(40^{\circ}\) and \((4x)^{\circ}\) are corresponding angles. For parallel lines (assumed from the context of the angle - pair), corresponding angles are equal. So we set up the equation \(4x = 40\).

Step2: Solve the equation for \(x\)

Divide both sides of the equation \(4x=40\) by 4. We get \(x=\frac{40}{4}\).

Answer:

\(x = 10\)