Question

what is the value of h?
(3h + 18)° (15h)°
○ h = 1.5
○ h = 9
○ h = 10
○ h = 13.5

Explanation:

Step1: Identify angle relationship

The two angles \((3h + 18)^\circ\) and \((15h)^\circ\) are supplementary (form a linear pair), so their sum is \(180^\circ\).
\[
(3h + 18) + 15h = 180
\]

Step2: Combine like terms

Combine the \(h\) terms:
\[
18h + 18 = 180
\]

Step3: Subtract 18 from both sides

\[
18h = 180 - 18
\]
\[
18h = 162
\]

Step4: Divide by 18

\[
h = \frac{162}{18}
\]
\[
h = 9
\]

Answer:

\(h = 9\) (corresponding to the option \(h = 9\))