Question

11 identify the type of angle pair. then, solve for x. vertical complementary supplementary (10x + 6)° 44°

Explanation:

Step1: Identify angle pair type

The two angles form a linear pair (on a straight line), so they are supplementary (sum to \(180^{\circ}\)).

Step2: Set up equation

\((10x + 6)+44=180\)

Step3: Simplify equation

\(10x+50 = 180\)

Step4: Solve for \(x\)

Subtract \(50\) from both sides: \(10x=180 - 50\), so \(10x=130\). Then divide by \(10\): \(x=\frac{130}{10}=13\)

Answer:

The angle pair is supplementary and \(x = 13\)