Question

question 2 (2 points)
state the angle relationship (complementary, supplementary, vertical) and then find the value of x.
angle relationship =
x =

Explanation:

Step1: Identify angle - relationship

The two angles form a right - angle, so they are complementary. Complementary angles add up to 90 degrees.

Step2: Set up the equation

We have \((x + 12)+(x + 18)=90\).

Step3: Simplify the left - hand side of the equation

Combine like terms: \(x+x+12 + 18=90\), which simplifies to \(2x+30 = 90\).

Step4: Solve for x

Subtract 30 from both sides: \(2x=90 - 30\), so \(2x=60\). Then divide both sides by 2: \(x=\frac{60}{2}=30\).

Answer:

angle relationship = complementary
x = 30