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QUESTION IMAGE

solve for x. (7x + 18)° 81° x =

Question

solve for x.
(7x + 18)°
81°
x =

Explanation:

Step1: Use corresponding - angles property

Since the angles $(7x + 18)^{\circ}$ and $81^{\circ}$ are corresponding angles (assuming $DE\parallel FG$ as the context of parallel - lines and transversals), they are equal. So, we set up the equation $7x+18 = 81$.

Step2: Isolate the variable term

Subtract 18 from both sides of the equation: $7x=81 - 18$.
$7x=63$.

Step3: Solve for x

Divide both sides of the equation by 7: $x=\frac{63}{7}$.
$x = 9$.

Answer:

$x = 9$