Question

solve for the value of s.
(2s+2)°
(3s-2)°
answer attempt 1 out of 2
8 =
submit answer

Explanation:

Step1: Identify angle relationship

The angles \((2s + 2)^\circ\), \(90^\circ\) (right angle), and \((3s - 2)^\circ\) are on a straight line, so their sum is \(180^\circ\).
\((2s + 2) + 90 + (3s - 2) = 180\)

Step2: Simplify the equation

Combine like terms: \(2s + 3s + 2 - 2 + 90 = 180\)
\(5s + 90 = 180\)

Step3: Solve for \(s\)

Subtract 90 from both sides: \(5s = 180 - 90\)
\(5s = 90\)
Divide by 5: \(s = \frac{90}{5} = 18\)

Answer:

\(s = 18\)