Question

what is the value of h?

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So the sum of \(38.4^{\circ}\), \(h\) and the angle adjacent to \(64.1^{\circ}\) (which is \(180^{\circ}- 64.1^{\circ}\)) is \(180^{\circ}\).

Step2: Set up the equation

\(38.4 + h+(180 - 64.1)=180\)
Simplify the equation: \(38.4+h + 115.9=180\)
\(h+154.3 = 180\)

Step3: Solve for \(h\)

Subtract \(154.3\) from both sides: \(h=180 - 154.3\)
\(h = 25.7\)

Answer:

\(25.7\)