Question

diagram shows two intersecting lines (one vertical, one diagonal) with angles labeled (30x + 4)° and 86°, and a number 3 (possibly problem number 3).

Explanation:

Step1: Identify vertical angles

The angles \((30x + 4)^\circ\) and \(86^\circ\) are vertical angles, so they are equal.
\[30x + 4 = 86\]

Step2: Solve for \(x\)

Subtract 4 from both sides:
\[30x = 86 - 4\]
\[30x = 82\] (Wait, no, 86 - 4 is 82? Wait, 86 - 4 is 82? Wait, 86 - 4 = 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? 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Answer:

Step1: Identify vertical angles

The angles \((30x + 4)^\circ\) and \(86^\circ\) are vertical angles, so they are equal.
\[30x + 4 = 86\]

Step2: Solve for \(x\)

Subtract 4 from both sides:
\[30x = 86 - 4\]
\[30x = 82\] (Wait, no, 86 - 4 is 82? Wait, 86 - 4 is 82? Wait, 86 - 4 = 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? Wait, no, 86 - 4 is 82? 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