Question

what is the value of s?
11s
10s
16s+26°
write your answer as an integer or as a decimal rounded to the nearest tenth.
s =
°
submit

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two opposite interior angles, so:
$$16s + 26 = 11s + 10s$$

Step2: Simplify the right-hand side

Combine like terms on the right:
$$16s + 26 = 21s$$

Step3: Isolate the variable s

Subtract $16s$ from both sides:
$$26 = 21s - 16s$$
$$26 = 5s$$

Step4: Solve for s

Divide both sides by 5:
$$s = \frac{26}{5}$$
$$s = 5.2$$

Answer:

$5.2$