Question

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Explanation:

Step1: Solve for \(x\) in \(4x + 12=90\)

Subtract \(12\) from both sides: \(4x=90 - 12\), so \(4x = 78\).
Divide both sides by \(4\): \(x=\frac{78}{4}=19.5\).

Step2: Solve for \(x\) in the angle - related problem (assuming vertical or supplementary angles)

If \(x\) and \(62^{\circ}\) are vertical angles, then \(x = 62^{\circ}\). If they are supplementary (assuming a linear - pair - like situation, but since no clear relation is given for the second \(x\) in the most basic case of vertical angles)

Answer:

For \(4x + 12 = 90\), \(x = 19.5\). For the angle \(x\) (assuming vertical angles with the \(62^{\circ}\) angle), \(x = 62^{\circ}\)