Question

what is the value of c? c - 21° c + 47° c - 3° 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, $c + 47=(c - 21)+(c - 3)$.

Step2: Simplify the right - hand side

Expand the right - hand side: $c + 47=c - 21 + c-3$. Combine like terms: $c + 47=2c-24$.

Step3: Solve for c

Subtract c from both sides: $47=2c - c-24$. Then $47=c - 24$. Add 24 to both sides: $c=47 + 24$.

Answer:

$71$