Question

what is the value of c?
work it o
not feeling ready yet?

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(8c - 23=(4c - 50)+(3c + 47)\)

Step2: Simplify the right - hand side of the equation

\((4c - 50)+(3c + 47)=4c+3c-50 + 47=7c-3\)
The equation becomes \(8c - 23=7c-3\)

Step3: Solve for \(c\)

Subtract \(7c\) from both sides: \(8c-7c-23=7c - 7c-3\)
\(c-23=-3\)
Add \(23\) to both sides: \(c-23 + 23=-3+23\)
\(c = 20\)

Answer:

\(20\)