Question

what is the m∠s?

Explanation:

Step1: Identify the shape

The figure is a parallelogram (opposite sides are equal and parallel).

Step2: Use the property of consecutive angles in a parallelogram

In a parallelogram, consecutive angles are supplementary. So, \(m\angle T + m\angle S= 180^{\circ}\).

Step3: Solve for \(m\angle S\)

Given \(m\angle T = 105^{\circ}\), then \(m\angle S=180^{\circ}- 105^{\circ}\).

Answer:

\(75^{\circ}\)