Question

part 1 of 3
find the value of the variable and the measure of each labeled angle.
(x + 10)°
(3x - 34)°
x =
(type a whole number.)
help me solve this view an example

Explanation:

Step1: Identify vertical angles

The two angles \((x + 10)^\circ\) and \((3x - 14)^\circ\) are vertical angles, so they are equal.
\[x + 10 = 3x - 14\]

Step2: Solve for \(x\)

Subtract \(x\) from both sides:
\[10 = 2x - 14\]
Add 14 to both sides:
\[24 = 2x\]
Divide both sides by 2:
\[x = 12\]

Answer:

\(x = 12\)