If the exterior angle has 5 angles but the only given number was 60 what is the missimissing angles? 

To solve this problem, let's use the properties of exterior angles in a polygon. 

### Step 1: Understand the properties
- The sum of all exterior angles of any polygon is always \(360^\circ\).
- If a polygon has \(n\) sides, it also has \(n\) exterior angles.

### Step 2: Set up the equation
You mentioned that the polygon has 5 angles, so it must be a pentagon. Let the missing exterior angles be \(x_1\), \(x_2\), \(x_3\), and \(x_4\). Given one of the exterior angles is \(60^\circ\), the sum of the angles can be written as:
\[
x_1 + x_2 + x_3 + x_4 + 60^\circ = 360^\circ
\]

### Step 3: Calculate the missing angles
\[
x_1 + x_2 + x_3 + x_4 = 360^\circ - 60^\circ = 300^\circ
\]

This means the sum of the four missing exterior angles is \(300^\circ\). However, to determine the individual angles, additional information is needed, such as whether the polygon is regular (all angles equal) or if any specific relationships between the angles are given.

Do you have any more information or assumptions about the shape of the polygon or the distribution of the angles?

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Would you like more details or have any questions? Here are 5 related questions you might find interesting:

1. What if all the angles in the pentagon were equal? What would each angle measure?
2. How do you find the interior angles of a polygon if you know the exterior angles?
3. What is the difference between regular and irregular polygons?
4. Can you find the exterior angles of a hexagon given one exterior angle?
5. How do you calculate the sum of the interior angles of a polygon?

**Tip:** Remember, for any polygon, the sum of its exterior angles is always \(360^\circ\), regardless of the number of sides!

Learn how to calculate missing exterior angles of a polygon when one angle is given as 60°. Understand the properties of polygons and exterior angles. Suitable for Grades 6-8.

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