Subtracting and Adding Angles

This video tutorial explains how to measure angles using degrees, minutes, and seconds. It covers the conversion between these units, how to represent angles with symbols, and demonstrates the process of adding and subtracting angles in this format. The tutorial provides step-by-step examples to ensure understanding of these concepts.

What is the relationship between a minute and a degree?

• 1 minute is 1/360th of a degree

• 1 minute is 1/30th of a degree

• 1 minute is 1/100th of a degree

• 1 minute is 1/60th of a degree

How many seconds are there in one degree?

• 3600 seconds

• 60 seconds

• 600 seconds

• 360 seconds

What symbol is used to denote minutes when representing angles?

• A colon (:)

• A degree symbol (°)

• A single apostrophe (')

• A double apostrophe ('')

If an angle is represented as 29° 52' 9'', what does the 9'' signify?

• 9 milliseconds

• 9 minutes

• 9 seconds

• 9 degrees

When adding angles, what should you do if the seconds exceed 59?

• Subtract the excess seconds

• Convert excess seconds into degrees

• Ignore the excess seconds

• Convert excess seconds into minutes

In the example of adding angles, what is the result of 51° 29' 47'' + 32° 46' 18''?

• 83° 15' 6''

• 82° 14' 3''

• 84° 16' 5''

• 85° 17' 4''

What is the first step when subtracting angles with no initial minutes or seconds?

• Convert degrees into seconds

• Add extra minutes

• Subtract directly

• Regroup the degrees into minutes

In the subtraction example, what is the result of 90° - 73° 12' 37''?

• 17° 48' 24''

• 15° 46' 22''

• 16° 47' 23''

• 18° 49' 25''

What is the process called when you adjust the degrees, minutes, and seconds to subtract angles?

• Rounding

• Carrying

• Regrouping

• Borrowing

Why is it necessary to regroup when subtracting angles?

• To ensure each column has enough units to subtract

• To make the subtraction faster

• To simplify the calculation

• To avoid negative numbers