Question

what is the value of s?

write your answer as an integer or as a decimal rounded to the nearest tenth.

s = \square^\circ

submit

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$10s = (6s - 25) + 6s$$

Step2: Simplify right-hand side

Combine like terms on the right:
$$10s = 12s - 25$$

Step3: Isolate s terms

Subtract $10s$ and add 25 to both sides:
$$25 = 2s$$

Step4: Solve for s

Divide both sides by 2:
$$s = \frac{25}{2} = 12.5$$

Answer:

$12.5$