Question

find the measure of ∠grt. 6n + 81 4n + 101

Explanation:

Step1: Set up equation

Since vertical - angles are equal, we set $6n + 81=4n + 101$.

Step2: Solve for n

Subtract $4n$ from both sides: $6n-4n + 81=4n-4n + 101$, which simplifies to $2n+81 = 101$. Then subtract 81 from both sides: $2n+81 - 81=101 - 81$, getting $2n=20$. Divide both sides by 2: $n = 10$.

Step3: Find the measure of ∠GRT

We can use either $6n + 81$ or $4n + 101$. Using $6n + 81$, substitute $n = 10$: $6\times10+81=60 + 81=141$.

Answer:

$141$