Question

1. w = ____

Explanation:

Step1: Recall angle - sum property of a straight - line

The sum of angles on a straight - line is 180°.

Step2: Set up the equation

We know that \(35^{\circ}+w + 41^{\circ}=180^{\circ}\).

Step3: Simplify the left - hand side of the equation

\(35 + 41+w=76 + w\). So, \(76^{\circ}+w = 180^{\circ}\).

Step4: Solve for \(w\)

Subtract 76° from both sides of the equation: \(w=180^{\circ}-76^{\circ}\).
\(w = 104^{\circ}\)

Answer:

\(104^{\circ}\)