Question

look at the diagram.
which equation can be used to solve for x?
5 + x = 65
5x + 65 = 90
5x = 65
5x + 65 = 180
solve for x.

Explanation:

Step1: Use the linear - pair property

Angles that form a linear pair are supplementary (sum to \(180^{\circ}\)). The angles \((5x)^{\circ}\) and \(65^{\circ}\) form a linear pair.
So, the equation is \(5x + 65=180\).

Step2: Solve the equation for \(x\)

Subtract \(65\) from both sides of the equation \(5x + 65 = 180\):
\(5x+65 - 65=180 - 65\)
\(5x=115\)
Divide both sides by \(5\):
\(x=\frac{115}{5}\)
\(x = 23\)

Answer:

The equation is \(5x + 65=180\) and \(x = 23\)