Question

look at the diagram. which equation can be used to solve for x? 39x = 90, 3x + 36 = 180, 3x + 36 = 90, 39x = 180. solve for x.

Explanation:

Step1: Identify the right angle

The diagram shows a right angle at \( G \), so the sum of \( 3x^\circ \) and \( 36^\circ \) should equal \( 90^\circ \) (since a right angle is \( 90^\circ \)).

Step2: Form the equation

From the angle addition, we get the equation \( 3x + 36 = 90 \).

Step3: Solve for \( x \)

Subtract 36 from both sides: \( 3x = 90 - 36 \)
\( 3x = 54 \)
Divide both sides by 3: \( x = \frac{54}{3} \)
\( x = 18 \)

Answer:

The equation to solve for \( x \) is \( 3x + 36 = 90 \), and \( x = 18 \).