Which figure shows a $$ 150^{\circ} $$ angle?

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1. An angle of $$150^\circ$$ is an obtuse angle because it is greater than $$90^\circ$$ but less than $$180^\circ$$.

2. To identify the figure that represents a $$150^\circ$$ angle, compare the angles shown in each figure. The correct figure will have an angle whose measure is $$150^\circ$$—that is, one that opens wide but does not form a straight line (which would be $$180^\circ$$).

3. If the figures are labeled (for example, Figures A, B, C, D), select the one where the drawn arc or the marking explicitly indicates a $$150^\circ$$ measurement or where the angle appears larger than a right angle but clearly less than a straight angle.

4. For instance, if one of the figures shows a ray pointing to the right (along the positive $$x$$-axis) and another ray emanating from the same vertex such that the angle between them is measured by a curved arc labeled $$150^\circ$$, that is the correct figure.

5. Therefore, the figure that shows a $$150^\circ$$ angle is the one where the vertex has one ray along a reference direction (like the positive $$x$$-axis) and the second ray rotated $$150^\circ$$ counterclockwise.

Without the actual visual figures to compare, the general approach is to choose the figure with an angle between $$90^\circ$$ and $$180^\circ$$ that is either explicitly marked as $$150^\circ$$ or clearly constructed to subtend an arc of $$150^\circ$$ at the vertex.

Thus, if one of your options is labeled or drawn to show an angle with these characteristics, that is the figure that shows a $$150^\circ$$ angle.
The figure that shows a $$150^\circ$$ angle is the one where the angle between the two rays is clearly marked or constructed to be $$150^\circ$$, making it an obtuse angle.

Which figure shows a \( 150^{\circ} \) angle?

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