Question

find the value of the variable and the measure of each labeled angle.
$(x + 26)^circ$
$(5x - 14)^circ$
$x = square$
(type a whole number)

Explanation:

Step1: Identify vertical angles

Vertical angles are equal, so \( x + 26 = 5x - 14 \).

Step2: Solve for \( x \)

Subtract \( x \) from both sides: \( 26 = 4x - 14 \).
Add 14 to both sides: \( 40 = 4x \).
Divide by 4: \( x = 10 \).

Answer:

\( x = 10 \)