Question

what is the value of s?

Explanation:

Step1: Recall straight - line angle sum

A straight line forms a \(180^{\circ}\) angle. So the sum of \(85^{\circ}\), \(s\), and \(63^{\circ}\) should be \(180^{\circ}\).
The equation is \(85 + s+ 63=180\).

Step2: Simplify the left - hand side

First, add \(85\) and \(63\): \(85 + 63 = 148\). So the equation becomes \(s+148 = 180\).

Step3: Solve for \(s\)

Subtract \(148\) from both sides of the equation: \(s=180 - 148\).
\(s = 32\).

Answer:

\(32\)