Question

look at this diagram: if rt and uw are parallel lines and m∠tsq = 60°, what is m∠rsq?

Explanation:

Step1: Identify the relationship between angles

Since \(\angle T S Q\) and \(\angle R S Q\) are adjacent angles forming a linear - pair.

Step2: Use the linear - pair property

The sum of angles in a linear - pair is \(180^{\circ}\). Let \(m\angle T S Q = 60^{\circ}\) and \(m\angle R S Q=x\). Then \(x + 60^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(60^{\circ}\) from both sides of the equation \(x=180^{\circ}-60^{\circ}\).

Answer:

\(120\)