Question

look at the diagram. which equation can be used to solve for x? 2x - 33 = 83 2x + 33 = 83 2x + 49 = 83 2x - 49 = 83 solve for x. x = submit work it out

Explanation:

Step1: Use angle addition property

The measure of \(\angle DGB\) is \(83^{\circ}\). \(\angle DGB=\angle DGC+\angle CGB\). Given \(\angle DGC=(2x - 8)^{\circ}\) and \(\angle CGB = 41^{\circ}\). So, \((2x-8)+41 = 83\). Simplify the left - hand side: \(2x+( - 8 + 41)=2x + 33\). The equation becomes \(2x+33 = 83\).

Step2: Solve the equation for \(x\)

Subtract 33 from both sides of the equation \(2x+33 = 83\).
\(2x+33-33=83 - 33\).
\(2x=50\).
Divide both sides by 2: \(x=\frac{50}{2}\).

Answer:

\(x = 25\)