Question

what is the value of s?

4s - 27°

s + 47°

30°

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 non-adjacent interior angles, so:
$$4s - 27 = (s + 47) + 30$$

Step2: Simplify the right-hand side

Combine the constant terms:
$$4s - 27 = s + 77$$

Step3: Isolate s terms on left

Subtract $s$ from both sides:
$$4s - s - 27 = 77$$
$$3s - 27 = 77$$

Step4: Isolate the s term

Add 27 to both sides:
$$3s = 77 + 27$$
$$3s = 104$$

Step5: Solve for s

Divide both sides by 3:
$$s = \frac{104}{3}$$

Answer:

$34.7$