Question

what is the value of s? s + 32° s s - 47° s = °

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $s + 32=(s)+(s - 47)$.

Step2: Simplify the equation

Expand the right - hand side: $s + 32=s + s-47$. Combine like terms: $s + 32 = 2s-47$.

Step3: Solve for s

Add 47 to both sides: $s+32 + 47=2s-47 + 47$, which gives $s + 79 = 2s$. Subtract s from both sides: $s - s+79=2s - s$.

Answer:

$79$