Answer:
180 degrees
Step-by-step explanation:
Given
[tex]Time = 5:00pm[/tex]
Required
The measure of the major arc, 30 minutes after
First, we calculate the time after 30 minutes
[tex]Time = 5:00pm +30\ mins[/tex]
[tex]Time = 5:30pm[/tex]
At 5:30pm, the hour and the minute hand will be directly opposite each other.
In other words, the hands divide the time into two equal parts (180 degrees each)
At this point, there is no major or minor arc as both sides have the same measurement
Hence, the measure of the arcs is 180 degrees
