Vertical angles are pairs of opposite angles formed by two intersecting lines, and they are always equal to each other. If the sum of the measures of two vertical angles is 300°, you can let the measure of each angle be \(x\). Therefore, you can write the equation:
\[ x + x = 300° \]
This simplifies to:
\[ 2x = 300° \]
Now, divide both sides by 2:
\[ x = 150° \]
So, each angle measures 150°.
The answer is 150°.
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