Angles and Degrees
1.) Label the vertex, initial side and terminal
sides of the angle. Label vertex P.
Draw a point Q on the initial side and
Point R on the terminal side.
2.) Identify the ways to name the angle.
3.) (a) Positive angle, !
counterclockwise
(b) Negative Angle, !
(C) Coterminal angles ! , !
Clockwise rotation
4.) Degree Measures of Angles
An angle formed by one complete revolution of the terminal side in a
counterclockwise direction has a measure of 360°. An angle that
1
measures 1° is formed by
of a complete revolution in a
360
counterclockwise direction.
Question: How many degrees are in the angle formed by the terminal
1
side rotating counterclockwise through
revolution ?
4
5.) Angle Classification:
(a) acute
(b) right
(e) complementary
(c) obtuse
(f) supplementary
(d) straight
Angles and Degrees
6.) Converting degrees to minutes.
a.) 5°45’
1 degree= 60 minutes = 60’
b.) 36°32’
7.) Converting degrees to seconds. 1 degree = 3600 seconds=3600”
a.) 2°20’13’’
b.) 5°10’50’’
8.) Convert the indicated quantities:
a.) 8°22’ = ___ ‘
b) 5°13’10” = ____ “
c.) 82’ = _____° _____’
9.) Convert 12°6’23” to degrees
10.) Convert 128°42’8” to degrees
d) 95” = ____’ ____”
Angles and Degrees
You Try!
Convert to the indicated quantities:
1.) 10°33’ = _______ ‘
2.) 40°27’ = _______’
3.) 1°10’12’’ = _____”
4.) 3°2’25’’=_______”
5.) 72° = ____°_____’
6.) 84” = ____’ ___”
Change the following to decimal degrees accurate to three decimal places.
7.) 43°21’4’’
8.) 61°52’11’’
9.) 2°12’47’’
10.) 23°5’21’’
11.) 103°17’41’’
12.) 228°40’51’’