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∠1 and ∠2 are vertical angles. if m∠1=(3x - 10)° and m∠2=(2x + 30)°, then find the value of x.
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Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. So, $m\angle1 = m\angle2$.
$(3x - 10)=(2x + 30)$

Step2: Solve the equation for $x$

Subtract $2x$ from both sides:
$3x-2x - 10=2x-2x + 30$
$x-10 = 30$
Then add 10 to both sides:
$x-10 + 10=30 + 10$
$x = 40$

Answer:

$40$