Question

the diagram shows a triangle. what is the value of s? s =

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$. So, $(s - 10^{\circ})+(s - 43^{\circ})+(s - 40^{\circ})=180^{\circ}$.

Step2: Combine like - terms

$3s-(10 + 43+40)=180$.
$3s - 93 = 180$.

Step3: Isolate the variable

Add $93$ to both sides: $3s=180 + 93$.
$3s=273$.

Step4: Solve for $s$

Divide both sides by $3$: $s=\frac{273}{3}=91$.

Answer:

$91$