Question

Select the three correct ways to describe an angle with a measure of 9​

Answer 1

An angle with a measure of 9 can be described as 9 degrees (9°), 9 minutes of arc (9'), or 540 seconds of arc (540"). These represent the same angular measurement in different units.

Step-by-step explanation:

To describe an angle with a measure of 9, we should be precise about the units we are using. In geometry, an angle's measure can be given in several units, including degrees, minutes of arc, and seconds of arc. Three correct ways to describe an angle of measure 9 would be:

1. 9 degrees - A simple measurement where the angle is nine degrees. In symbolic notation, this is written as 9°.
2. 9 minutes of arc - This is a subunit of degrees where 1 degree equals 60 minutes. So, an angle can also be described as having a measure of 9 minutes, denoted as 9'.
3. 540 seconds of arc - Another subunit, where 1 minute of arc equals 60 seconds. Here, 9 minutes would equal 540 seconds of arc, denoted as 540".