Question

what is the value of c? 6c + 6° 4c 43° write your answer as an integer or as a decimal rounded to the nearest tenth.

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, $6c + 6=4c+43$.

Step2: Solve the equation for c

Subtract $4c$ from both sides: $6c-4c + 6=4c-4c + 43$, which simplifies to $2c+6 = 43$. Then subtract 6 from both sides: $2c+6 - 6=43 - 6$, getting $2c=37$. Divide both sides by 2: $c=\frac{37}{2}=18.5$.

Answer:

$18.5$