Question

what is the value of c? write your answer as an integer or as a decimal rounded to the nearest tenth. c =

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $21c=(6c + 48)+37$.

Step2: Simplify the right - hand side

$21c=6c+48 + 37$ simplifies to $21c=6c + 85$.

Step3: Subtract $6c$ from both sides

$21c-6c=6c + 85-6c$, which gives $15c=85$.

Step4: Solve for $c$

$c=\frac{85}{15}=\frac{17}{3}\approx5.7$.

Answer:

$5.7$