Question

what is the value of c?

c =

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, \(6c=3c+(5c - 38)\)

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(c\)

Subtract \(6c\) from both sides: \(0 = 2c-38\). Then add \(38\) to both sides: \(2c=38\). Divide both sides by \(2\): \(c = 19\)

Answer:

\(19\)