Question

what is the value of c?

c =
submit

Explanation:

Step1: Use 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, \(c + 40^{\circ}=(c - 35^{\circ})+(c + 9^{\circ})\)

Step2: Simplify the equation

Expand the right - hand side: \(c + 40^{\circ}=c - 35^{\circ}+c + 9^{\circ}\)
Combine like terms on the right - hand side: \(c + 40^{\circ}=2c-26^{\circ}\)

Step3: Solve for \(c\)

Subtract \(c\) from both sides: \(40^{\circ}=2c - c-26^{\circ}\)
\(40^{\circ}=c - 26^{\circ}\)
Add \(26^{\circ}\) to both sides: \(c=40^{\circ}+26^{\circ}\)

Answer:

\(66\)