Question

look at the diagram. which equation can be used to solve for x? 8x + 26 = 180, 8x = 26, 8x + 26 = 90, 8x = 90 solve for x. x =

Explanation:

Step1: Find the adjacent - angle of 154°

The angle adjacent to 154° forms a linear - pair with it. So, the measure of the adjacent angle is \(180 - 154=26^{\circ}\).

Step2: Set up the equation using the right - angle

Since the angle formed by the two lines is a right - angle (90°), and one part of the right - angle is 26° and the other is \(8x\) degrees, we have the equation \(8x + 26=90\).

Step3: Solve the equation for x

First, subtract 26 from both sides of the equation \(8x+26 = 90\):
\(8x=90 - 26\)
\(8x = 64\).
Then divide both sides by 8: \(x=\frac{64}{8}=8\).

Answer:

The equation is \(8x + 26 = 90\) and \(x = 8\)