# Lesson Worksheet: Angles in Degrees, Minutes, and Seconds Mathematics

In this worksheet, we will practice converting the measure of angles from degrees, minutes, and seconds to only degrees and vice versa.

Q1:

How can you write 20 degrees, 25 minutes, and 59 seconds?

• A
• B
• C
• D

Q2:

Using a calculator, write in degrees.

Q3:

Convert the angle to decimal degrees giving the answer to three decimal places.

Q4:

Express the angle in degrees, minutes, and seconds.

• A
• B
• C
• D

Q5:

Using a calculator, write in degrees, minutes, and seconds.

• A
• B
• C
• D
• E

Q6:

Without using a calculator, write in degrees.

Q7:

Without using a calculator, write in degrees, minutes, and seconds.

• A
• B
• C
• D
• E

Q8:

Michael is trying to convert to degrees only without using a calculator. First, he converts the minutes to degrees by dividing 47 by 60, and then he converts the seconds to minutes by dividing 35 by 60. Finally, he adds all of the parts of the degree to get his answer. His answer is .

Is his process correct?

• ANo
• BYes

If you think that his process is wrong, which of the following is correct?

• AI think his process is correct.
• BHe should add all of the degrees, minutes, and seconds by dividing the minutes or seconds by 60. So, his answer will be .
• CHe should divide the 35 seconds by 60 times 60(3,600) to convert it to degrees. So, his answer will be .

Q9:

Noah’s teacher asked him to express in degrees only without using the calculator. Noah forgot the procedure, so he could not answer his teacher’s question. His teacher requested that his colleagues, Liam, Anthony, and Jacob, help him. Liam said the answer was , Anthony said the answer was , and Jacob said the answer was . Whose answer is correct?

• ALiam
• BAnthony
• CJacob

Q10:

Liam and Matthew are using their calculators to convert to degrees, minutes, and seconds. Liam says the answer is . However, Matthew says the answer is . Using your calculator, determine which answer is correct.

• AMatthew
• BLiam

This lesson includes 17 additional questions and 198 additional question variations for subscribers.