Question

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

Explanation:

Step1: Use the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(11c - 34=6c + 45\).

Step2: Solve the equation for \(c\)

Subtract \(6c\) from both sides: \(11c-6c - 34=6c-6c + 45\), which simplifies to \(5c-34 = 45\).
Add \(34\) to both sides: \(5c-34 + 34=45 + 34\), so \(5c=79\).
Divide both sides by \(5\): \(c=\frac{79}{5}=15.8\).

Answer:

\(15.8\)