Question

what is the value of h?
$h = 1.5$
$h = 9$
$h = 10$
$h = 13.5$
$(3h + 18)^circ$
$(15h)^circ$

Explanation:

Step1: Identify the angle relationship

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

$$ (3h + 18) + 15h = 180 $$

Step2: Combine like terms

Combine the \(h\) terms:

$$ 3h + 15h + 18 = 180\\ 18h + 18 = 180 $$

Step3: Subtract 18 from both sides

$$ 18h + 18 - 18 = 180 - 18\\ 18h = 162 $$

Step4: Divide both sides by 18

$$ h = \frac{162}{18}\\ h = 9 $$

Answer:

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