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x = step 1: 83°+(12x + 1)°= step 2: 12x+ step 3: 12x= step 4: x =

Question

x =
step 1: 83°+(12x + 1)°=
step 2: 12x+
step 3: 12x=
step 4: x =

Explanation:

Step1: Identify angle - relationship

$83^{\circ}+(12x + 1)^{\circ}=180^{\circ}$ (Supplementary angles add up to 180°)

Step2: Simplify the left - hand side

$12x+83 + 1=180$, so $12x+84 = 180$

Step3: Isolate the term with $x$

$12x=180 - 84$, so $12x = 96$

Step4: Solve for $x$

$x=\frac{96}{12}$, so $x = 8$

Answer:

$8$