Question

what is the value of c? c - 48° c c + 44° c =

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $c + 44^{\circ}=(c - 48^{\circ})+c$.

Step2: Simplify the equation

Expand the right - hand side: $c + 44^{\circ}=c - 48^{\circ}+c$. Combine like terms: $c + 44^{\circ}=2c-48^{\circ}$.

Step3: Solve for c

Add $48^{\circ}$ to both sides of the equation: $c+44^{\circ}+48^{\circ}=2c-48^{\circ}+48^{\circ}$, which gives $c + 92^{\circ}=2c$. Subtract $c$ from both sides: $c - c+92^{\circ}=2c - c$.

Answer:

$92$