Question

16° (x - 81)° 107° x = ____

Explanation:

Step1: Use angle - sum property

The sum of the interior angles of the angles around a point is 180°. So, we have the equation $(x - 81)+107 + 16=180$.

Step2: Simplify the left - hand side of the equation

First, combine the constant terms on the left - hand side: $(x-81)+123 = 180$. Then, we can rewrite it as $x-81+123=180$, and further simplify to $x + 42=180$.

Step3: Solve for x

Subtract 42 from both sides of the equation $x+42 = 180$. We get $x=180 - 42$.

Answer:

$x = 138$