Question

what is the value of s?
x
110°
35°
y
w
s=

Explanation:

Step1: Use triangle angle - sum property

In \(\triangle XWY\), the sum of interior angles is \(180^{\circ}\). Let \(\angle X = 110^{\circ}\), \(\angle Y=35^{\circ}\), and \(\angle W = s\).
The formula for the sum of angles in a triangle is \(\angle X+\angle Y+\angle W = 180^{\circ}\).

Step2: Solve for \(s\)

Substitute the known values into the formula: \(110^{\circ}+35^{\circ}+s = 180^{\circ}\).
First, add \(110^{\circ}\) and \(35^{\circ}\): \(145^{\circ}+s = 180^{\circ}\).
Then, subtract \(145^{\circ}\) from both sides: \(s=180^{\circ}- 145^{\circ}\).

Answer:

\(35\)