Question

question 3 (2 points)
state the angle relationship (complementary, supplementary, vertical) and then find the value of x.
(12x - 37)° (9x + 5)°
y
angle relationship =
x =

Explanation:

Step1: Identify angle relationship

The two angles $(12x - 37)^{\circ}$ and $(9x + 5)^{\circ}$ are vertical angles. Vertical angles are equal.

Step2: Set up equation

Set $12x-37 = 9x + 5$.

Step3: Solve for x

Subtract $9x$ from both sides: $12x-9x-37=9x - 9x+5$, which simplifies to $3x-37 = 5$. Then add 37 to both sides: $3x-37 + 37=5 + 37$, so $3x=42$. Divide both sides by 3: $x=\frac{42}{3}=14$.

Answer:

angle relationship = vertical
$x = 14$