Question

look at the diagram. which equation can be used to solve for x? 3(5 + x) + 60 = 180, 3(5x) = 60, 3(5x) + 60 = 90, 3(5 + x) = 60 solve for x. x =

Explanation:

Step1: Identify angle - relationship

The two angles \(60^{\circ}\) and \(3(5 + x)^{\circ}\) are supplementary (form a straight - line pair), so their sum is \(180^{\circ}\).
The correct equation is \(3(5 + x)+60 = 180\).

Step2: Solve the equation for \(x\)

First, expand \(3(5 + x)\):

$$
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$$

Then, subtract 75 from both sides:

$$
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$$

Finally, divide both sides by 3:

$$
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$$

Answer:

The equation is \(3(5 + x)+60 = 180\) and \(x = 35\)