the diagram shows a triangle.\nwhat is the value of s?\ns = \\square^\\circ

the diagram shows a triangle.\nwhat is the value of s?\ns = \\square^\\circ

the diagram shows a triangle.\nwhat is the value of s?\ns = \\square^\\circ

Answer

Explanation:

Step1: Sum angles to 180°

$$16s + 7s + (s + 36^\circ) = 180^\circ$$

Step2: Combine like terms

$$24s + 36^\circ = 180^\circ$$

Step3: Isolate term with s

$$24s = 180^\circ - 36^\circ$$ $$24s = 144^\circ$$

Step4: Solve for s

$$s = \frac{144^\circ}{24}$$

Answer:

$6^\circ$