Question

what is the value of s? s + 46° s + 9° s - 13°

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, $s + 46=(s + 9)+(s - 13)$.

Step2: Simplify the right - hand side

First, simplify the right - hand side of the equation: $(s + 9)+(s - 13)=s + 9+s - 13=2s-4$. So the equation becomes $s + 46=2s - 4$.

Step3: Solve for s

Subtract s from both sides: $s - s+46=2s - s-4$, which simplifies to $46=s - 4$. Then add 4 to both sides: $46 + 4=s-4 + 4$.

Answer:

$s = 50$