Question

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

Explanation:

Step1: Sum angles to 180°

$$(2s+12^\circ)+(6s-17^\circ)+(3s-13^\circ)=180^\circ$$

Step2: Combine like terms

$$2s+6s+3s + 12-17-13 = 180$$
$$11s - 18 = 180$$

Step3: Isolate the variable term

$$11s = 180 + 18$$
$$11s = 198$$

Step4: Solve for s

$$s = \frac{198}{11}$$

Answer:

$s=18$