Question

look at the diagram.
which equation can be used to solve for x?
3(5 + x) + 60 = 180
3(5x) = 60

Explanation:

Step1: Recall vertical angles and linear pairs

Vertical angles are equal. But here, the two angles \(60^{\circ}\) and \(3(5 + x)^{\circ}\) form a linear pair. A linear pair of angles sums to \(180^{\circ}\).

Step2: Set up the equation

Since the sum of angles in a linear pair is \(180^{\circ}\), we can write the equation as \(3(5 + x)+60 = 180\).

Answer:

\(3(5 + x)+60 = 180\)