Question

what is the value of c? c c - 10° c + 42° 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, $c + 42^{\circ}=c+(c - 10^{\circ})$.

Step2: Simplify the equation

$c + 42^{\circ}=c + c-10^{\circ}$.

Step3: Combine like terms

$c + 42^{\circ}=2c-10^{\circ}$.

Step4: Solve for c

Add $10^{\circ}$ to both sides: $c+42^{\circ}+10^{\circ}=2c-10^{\circ}+10^{\circ}$, which gives $c + 52^{\circ}=2c$. Then subtract $c$ from both sides: $c - c+52^{\circ}=2c - c$.

Answer:

$52$