Question

solve for x:
equation practice with vertical angles
angles: (2x + 62^circ) and (5x + 38^circ)
(x = square)

Explanation:

Step1: Identify angle relationship

The two angles \(2x + 62^\circ\) and \(5x + 38^\circ\) are vertical angles, so they are equal.
\[2x + 62 = 5x + 38\]

Step2: Solve for \(x\)

Subtract \(2x\) from both sides:
\[62 = 3x + 38\]
Subtract \(38\) from both sides:
\[24 = 3x\]
Divide both sides by \(3\):
\[x = \frac{24}{3} = 8\]

Answer:

\(x = 8\)