Questions: Consider the figure below. What are the angles of rotational symmetry, x, for the figure where 0°<x ≤ 360°? Enter the angles separated by commas, with deg after any value in degrees.

Consider the figure below. What are the angles of rotational symmetry, x, for the figure where 0°<x ≤ 360°? Enter the angles separated by commas, with deg after any value in degrees.
Transcript text: Consider the figure below. What are the angles of rotational symmetry, $x$, for the figure where $0^{\circ}
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Solution

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Solution Steps

Step 1: Identify the figure and its symmetry

The figure shown is an arrow pointing upwards and downwards. To determine the angles of rotational symmetry, we need to find the angles at which the figure looks the same after rotation.

Step 2: Determine the angles of rotational symmetry

For the given figure, it will look the same after a 180-degree rotation because the arrow pointing upwards will align with the arrow pointing downwards and vice versa. Therefore, the angles of rotational symmetry are 180 degrees and 360 degrees (a full rotation).

Step 3: List the angles within the given range

The problem specifies the range \(0^\circ < x \leq 360^\circ\). Within this range, the angles of rotational symmetry are 180 degrees and 360 degrees.

Final Answer

The angles of rotational symmetry for the given figure are: \[180^\circ, 360^\circ\]

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