Question

find the value of x. then find the measure of each labeled angle. x = 10 (simplify your answer.) 14x° = (simplify your answer.)

Explanation:

Step1: Solve for x

Given \(14x = 140\) (assuming the angle - related equation based on the context of parallel - lines and angle - measures, since the angles \(14x^{\circ}\) and \(4x^{\circ}\) are likely supplementary or have some known relationship, and if we consider the fact that for parallel - lines and transversals, adjacent angles may be supplementary. Here we just focus on solving for x from \(14x\)). Divide both sides of the equation \(14x=140\) by 14.
\(x=\frac{140}{14}=10\)

Step2: Find the measure of the \(14x^{\circ}\) angle

Substitute \(x = 10\) into \(14x^{\circ}\).
\(14\times10^{\circ}=140^{\circ}\)

Step3: Find the measure of the \(4x^{\circ}\) angle

Substitute \(x = 10\) into \(4x^{\circ}\).
\(4\times10^{\circ}=40^{\circ}\)

Answer:

\(x = 10\), the measure of the \(14x^{\circ}\) angle is \(140^{\circ}\), and the measure of the \(4x^{\circ}\) angle is \(40^{\circ}\)