Vertical angles are pairs of opposite angles formed by two intersecting lines. They are always equal in measure. If the sum of the measures of two vertical angles is 300°, then each angle can be found by dividing the total by 2.
Let's denote the measure of one angle as \( x \). Since the angles are equal, we have:
\[ x + x = 300° \]
This simplifies to:
\[ 2x = 300° \]
Now, we divide both sides by 2:
\[ x = 150° \]
Thus, each vertical angle measures:
150°
So the answer is:
150 degrees
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