calculate the measures of the point angles of

the star-shaped polygons shown.
I know you can see the firgure but its 140 degree angle. To measure them do I do 360/140=2.57?

To calculate the measures of the point angles in a star-shaped polygon, you need to use the following formula:

Measure of each point angle = 360 degrees / Number of points in the star

In this case, you mentioned that the angle measure of the star-shaped polygon is 140 degrees. Assuming this is the measure of each point angle, you can find the number of points as follows:

Number of points = 360 degrees / 140 degrees ≈ 2.57

However, it is important to note that the number of points in a star-shaped polygon must be a whole number. So, in this case, you can round down the value to the nearest whole number since you cannot have a fraction of a point:

Number of points ≈ 2

Therefore, the star-shaped polygon in question has approximately 2 points.

To calculate the measure of each point angle, you can use the formula as follows:

Measure of each point angle = 360 degrees / 2 points = 180 degrees

So, the measure of each point angle in this star-shaped polygon is 180 degrees.