Angle Addition and Subtraction Problems

The video tutorial covers solving a two-part problem involving angle measurements. In the first part, the instructor demonstrates how to add two angles by aligning degrees, minutes, and seconds in columns and carrying over when necessary. The second part involves subtracting an angle from 180 degrees, requiring borrowing to perform the subtraction. The session concludes with the final answers for both parts.

What is the first step in solving the angle addition problem?

• Convert all measurements to seconds

• Multiply the angles

• Align degrees, minutes, and seconds in columns

• Subtract the smaller angle from the larger one

How do you handle the addition of seconds when the total exceeds 60?

• Convert the excess into minutes

• Ignore the excess

• Convert the excess into degrees

• Subtract 60 from the total

What is the result of adding 32° 43' 22" and 45° 42' 44" before any conversion?

• 77° 85' 66"

• 78° 26' 6"

• 78° 25' 5"

• 77° 86' 6"

What is the final result of the angle addition problem?

• 79° 27' 7"

• 78° 25' 5"

• 77° 86' 6"

• 78° 26' 6"

How is 180° initially represented for the subtraction problem?

• 179° 60' 0"

• 179° 59' 60"

• 180° 0' 0"

• 180° 60' 0"

Why do we need to borrow degrees in the subtraction problem?

• To make the subtraction easier

• To add more degrees to the total

• To convert degrees into seconds

• Because 0 minutes is smaller than 21 minutes

What is the result of subtracting 54° 21' from 179° 60'?

• 123° 37'

• 124° 38'

• 126° 40'

• 125° 39'

What is the final answer for the subtraction problem?

• 123° 37'

• 124° 38'

• 125° 39'

• 126° 40'