Question

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

Explanation:

Step1: Identify the relationship between angles

The two angles \((5x)^{\circ}\) and \(65^{\circ}\) are supplementary (they form a linear pair, so their sum is \(180^{\circ}\)).

Step2: Set up the equation

Based on the supplementary - angle relationship, the equation is \(5x + 65=180\).

Step3: Solve the equation for \(x\)

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

Answer:

The equation that can be used to solve for \(x\) is \(5x + 65=180\), and \(x = 23\).