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∠1 and ∠2 are vertical angles. if m∠1 = - 16° and m∠2=(x + 6)°, then find the value of x.
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angle terminology with equations

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. So, $m\angle1 = m\angle2$.

Step2: Set up the equation

We have the equation $- 16=x + 6$.

Step3: Solve for $x$

Subtract 6 from both sides of the equation: $x=-16 - 6$.
$x=-22$.

Answer:

$x = - 22$