Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we can write the equation $(s + 50^{\circ})+(s + 29^{\circ})+93^{\circ}=180^{\circ}$.

Step2: Combine like - terms

First, combine the s - terms and the constant terms on the left - hand side: $s+s+(50^{\circ}+29^{\circ}+93^{\circ}) = 180^{\circ}$, which simplifies to $2s+172^{\circ}=180^{\circ}$.

Step3: Isolate the variable s

Subtract 172° from both sides of the equation: $2s=180^{\circ}-172^{\circ}$, so $2s = 8^{\circ}$. Then divide both sides by 2: $s=\frac{8^{\circ}}{2}=4^{\circ}$.

Answer:

$4$