Question

find the measure of ∠tgc. 2m + 99 7m + 149

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, $2m + 99=7m + 149$.

Step2: Solve for m

Subtract $2m$ from both sides: $99 = 5m+149$. Then subtract 149 from both sides: $99 - 149=5m$, which gives $- 50 = 5m$. Divide both sides by 5, so $m=-10$.

Step3: Find measure of ∠TGC

Substitute $m = - 10$ into the expression for ∠TGC. Using $2m + 99$, we have $2(-10)+99=-20 + 99 = 79$.

Answer:

$79$