Question

what is the value of s? write your answer as an integer or as a decimal rounded to the nearest tenth. s =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $5s=(s + 18)+(3s-3)$.

Step2: Simplify the right - hand side

Combine like terms on the right - hand side: $(s + 18)+(3s-3)=s+3s+18 - 3=4s + 15$. So, the equation becomes $5s=4s + 15$.

Step3: Solve for s

Subtract $4s$ from both sides of the equation: $5s-4s=4s + 15-4s$. This gives $s = 15$.

Answer:

$15$