Question

what is the value of c? c = ^{circ}

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, \(c+(c - 15^{\circ})=c + 44^{\circ}\).

Step2: Simplify the equation

Expand the left - hand side: \(c+c-15^{\circ}=c + 44^{\circ}\), which simplifies to \(2c-15^{\circ}=c + 44^{\circ}\).

Step3: Solve for \(c\)

Subtract \(c\) from both sides: \(2c - c-15^{\circ}=c - c+ 44^{\circ}\). Then \(c-15^{\circ}=44^{\circ}\). Add \(15^{\circ}\) to both sides: \(c=44^{\circ}+15^{\circ}\).

Answer:

\(59\)