Question

what is the value of c?

c =
submit

Explanation:

Step1: Use 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, \(6c=(7c - 43)+(c + 21)\).

Step2: Simplify the equation

Expand the right - hand side: \(6c=7c-43 + c+21\). Combine like terms: \(6c=8c-22\).

Step3: Solve for \(c\)

Subtract \(8c\) from both sides: \(6c-8c=-22\), which gives \(-2c=-22\). Divide both sides by \(-2\): \(c = 11\).

Answer:

\(11\)