For the following Exercises, find the number of degrees in the point angle of each figure.
1) {5/2} = 2.5
2) {8/2} = 4
3) {6/2} = 3
To find the number of degrees in the point angle of each figure, we need to understand what a point angle is.
A point angle is the angle formed when two rays or line segments meet at a common endpoint called the vertex. In this case, we are given a fractional value for the point angle, such as 5/2, 8/2, and 6/2.
To determine the number of degrees in an angle, we typically use a circle, where the angle is measured in terms of the total degrees in a circle, which is 360 degrees.
To convert the fractional value into degrees, we can use the following formula:
Degree measure = Fractional value * Total degrees in a circle
Let's apply this formula to the given exercises:
1) {5/2} = 2.5
Degree measure = 2.5 * 360
Degree measure = 900 degrees
Therefore, the number of degrees in the point angle {5/2} is 900 degrees.
2) {8/2} = 4
Degree measure = 4 * 360
Degree measure = 1440 degrees
Therefore, the number of degrees in the point angle {8/2} is 1440 degrees.
3) {6/2} = 3
Degree measure = 3 * 360
Degree measure = 1080 degrees
Therefore, the number of degrees in the point angle {6/2} is 1080 degrees.
Remember to always use the formula Degree measure = Fractional value * Total degrees in a circle to find the number of degrees in a given point angle.