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QUESTION IMAGE

solve for x. (7x + 18)° 81° x = submit

Question

solve for x.
(7x + 18)°
81°
x =
submit

Explanation:

Step1: Identify angle - relationship

Assume the angles are corresponding or alternate - interior/exterior angles. Since the two pairs of lines are parallel, the angle $(7x + 18)^{\circ}$ and the $81^{\circ}$ angle are equal (corresponding angles postulate for parallel lines). So we set up the equation $7x+18 = 81$.

Step2: Solve the equation for x

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

Step3: Find the value of x

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

Answer:

$9$