Question

what is the value of c? c = ° save answer

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, \(c + 25=(c - 50)+(c - 28)\).

Step2: Simplify the equation

Expand the right - hand side: \(c + 25=c - 50 + c - 28\). Combine like terms on the right - hand side: \(c+25 = 2c-(50 + 28)\), which is \(c + 25=2c - 78\).

Step3: Solve for \(c\)

Subtract \(c\) from both sides: \(25=2c - c-78\). Then \(25=c - 78\). Add 78 to both sides: \(c=25 + 78\).

Answer:

\(103\)