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look at the diagram. which equation can be used to solve for x? 4 + x =…

Question

look at the diagram. which equation can be used to solve for x? 4 + x = 76 4x + 76 = 90 4x = 76 4x + 76 = 180 solve for x. x =

Explanation:

Step1: Identify vertical - angle property

Vertical angles are equal. $\angle DHF$ and $\angle EHG$ are vertical angles.

Step2: Set up the equation

Since vertical angles are equal, we have $4x=76$.

Step3: Solve the equation for x

Divide both sides of the equation $4x = 76$ by 4. So, $x=\frac{76}{4}$.

Answer:

$x = 19$