Question

find the value of n.
(6n + 18)°
(n + 37)°

Explanation:

Step1: Use angle - sum property of a right - angle

The sum of the two non - right angles in a right - triangle is 90 degrees. So, we set up the equation $(6n + 18)+(n + 37)=90$.

Step2: Combine like terms

Combine the $n$ terms and the constant terms: $6n+n+18 + 37=90$, which simplifies to $7n+55 = 90$.

Step3: Isolate the variable term

Subtract 55 from both sides of the equation: $7n=90 - 55$, so $7n=35$.

Step4: Solve for n

Divide both sides by 7: $n=\frac{35}{7}$.

Answer:

$n = 5$