Question

what is the value of s?
write your answer as an integer or as a decimal rounded to the nearest tenth.
submit
s =
2s - 8°
3s - 47°
s + 50°

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, \(s + 50=(2s - 8)+(3s - 47)\)

Step2: Simplify the right - hand side

First, simplify \((2s - 8)+(3s - 47)\):

$$
LATEXBLOCK0
$$

The equation becomes \(s + 50=5s-55\)

Step3: Solve for \(s\)

Subtract \(s\) from both sides: \(50 = 4s-55\)
Add 55 to both sides: \(4s=50 + 55\), so \(4s=105\)
Divide both sides by 4: \(s=\frac{105}{4}=26.25\)

Answer:

\(26.3\)