Question

1. which vocabulary term best represents the given angles?

alternate interior angles
vertical angles
complementary angles
supplementary angles
$114^\circ$
$(5x + 4)^\circ$

Explanation:

Step1: Identify angle relationship

The angles are opposite each other formed by intersecting lines, so they are vertical angles, which are congruent.

Step2: Set up congruent angle equation

$5x + 4 = 114$

Step3: Solve for x

Subtract 4 from both sides: $5x = 114 - 4 = 110$
Divide by 5: $x = \frac{110}{5} = 22$

Answer:

B. vertical angles
$x=22$