Question

1. given (mangle qrs = 12n). determine the value of (n).

Explanation:

Step1: Set up equation

Since the sum of the angles that make up $\angle QRS$ is equal to $\angle QRS$, we have $(5n + 1)+76=12n$.

Step2: Simplify left - hand side

Combine like terms: $5n+77 = 12n$.

Step3: Isolate variable terms

Subtract $5n$ from both sides: $77=12n - 5n$.

Step4: Combine $n$ terms on right - hand side

$77 = 7n$.

Step5: Solve for $n$

Divide both sides by 7: $n=\frac{77}{7}=11$.

Answer:

$11$