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Unit 7.2
Naming,
Measuring,
Drawing Angles
Kinds of Angles
•Acute- less than
90º
Kinds of Angles
•Right- exactly 90º
Kinds of Angles
•Obtuse- more than
90º but less than
180º
Kinds of Angles
•Straight- exactly
180º
Kinds of Angles
•Reflex- more than
180º but less than
360º
More Angles
•Vertical Angles- are
formed when to lines
intersect 1
3
2
4
<4 = <2
<1 = <3
More Angles
• Corresponding Angles- on
the same side of the
transversal and in the
same position on different
lines. Corresponding
angles are always equal
a
b
c
m n
p o
q r
t s
Looking at Corresponding
Angles
< m = < q
< p = < t
< n = < r
< o = < s
More Angles
• Complementary angles
(complements)– 2
angles are
complementary if the
sum of their measures
is 90º
60º
?
What is the
complement
of a 60º
60º + ___ = 90º
30º
More Angles
• Supplementary angles
(supplements)- 2 angles
are supplementary if the
sum of their angles is
180º
110º ?
What is the
supplement of a
110º
110º + ___ = 180º
70º
D
C
A
B
E
If < DAB is a right angle and
m < DAC is 42°, find m < BAC
90° - 42° = 48°
D
C
A
B
E
< DAC and < BAC are which
of the following
a)Corresponding c) Complementary
b)Vertical d) Supplementary
C) Complementary
they add up to be
90°
D
C
A B
F
If < ADF is a straight angle and
< ADB is a 112° find m < BDF
180° - 112° = 68°
D
C
A B
F
< ADC and < BDF are which
of the following
a)Corresponding c) Complementary
b)Vertical d) Supplementary
b) Vertical
D
C
A B
F
< ADC and < CDF are which
of the following
a)Corresponding c) Complementary
b)Vertical d) Supplementary
d) Supplementary they add up to be
180°
(4x)
If the value of x is
chosen at
random from {8,
10, 12, 18, 30}
what is the
probability that
<R is an acute
angle?
R
1) Fill in x
with each
number and
multiply to
see what you
end up with
2) Find out
what your
probability is
for it being
an acute
angle
(4x)
4 x 8= 32°
(4x)
4 x 10= 40°
(4x)
4 x 12= 48°
(4x)
4 x 18= 72°
(4x)
4 x 30= 120°
(4x -12)
If the value of x is
chosen at
random from {8,
10, 15, 22, 34}
what is the
probability that
<T is an obtuse
angle?
T
1) Fill in x
with each
number and
multiply to
see what you
end up with
2) Find out
what your
probability is
for it being
an acute
angle
(4x-12)
4(8) -12= 20°
(4x)
4(10) - 12= 28°
(4x-12)
4(15) - 12= 48°
(4x - 12)
4(22) - 12= 76°
(4x-12)
4(34) - 12= 124°
1 out of 5

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Comp7.2cc.ppt

  • 2. Kinds of Angles •Acute- less than 90º
  • 4. Kinds of Angles •Obtuse- more than 90º but less than 180º
  • 6. Kinds of Angles •Reflex- more than 180º but less than 360º
  • 7. More Angles •Vertical Angles- are formed when to lines intersect 1 3 2 4 <4 = <2 <1 = <3
  • 8. More Angles • Corresponding Angles- on the same side of the transversal and in the same position on different lines. Corresponding angles are always equal
  • 9. a b c m n p o q r t s Looking at Corresponding Angles < m = < q < p = < t < n = < r < o = < s
  • 10. More Angles • Complementary angles (complements)– 2 angles are complementary if the sum of their measures is 90º
  • 11. 60º ? What is the complement of a 60º 60º + ___ = 90º 30º
  • 12. More Angles • Supplementary angles (supplements)- 2 angles are supplementary if the sum of their angles is 180º
  • 13. 110º ? What is the supplement of a 110º 110º + ___ = 180º 70º
  • 14. D C A B E If < DAB is a right angle and m < DAC is 42°, find m < BAC 90° - 42° = 48°
  • 15. D C A B E < DAC and < BAC are which of the following a)Corresponding c) Complementary b)Vertical d) Supplementary C) Complementary they add up to be 90°
  • 16. D C A B F If < ADF is a straight angle and < ADB is a 112° find m < BDF 180° - 112° = 68°
  • 17. D C A B F < ADC and < BDF are which of the following a)Corresponding c) Complementary b)Vertical d) Supplementary b) Vertical
  • 18. D C A B F < ADC and < CDF are which of the following a)Corresponding c) Complementary b)Vertical d) Supplementary d) Supplementary they add up to be 180°
  • 19. (4x) If the value of x is chosen at random from {8, 10, 12, 18, 30} what is the probability that <R is an acute angle? R 1) Fill in x with each number and multiply to see what you end up with 2) Find out what your probability is for it being an acute angle (4x) 4 x 8= 32° (4x) 4 x 10= 40° (4x) 4 x 12= 48° (4x) 4 x 18= 72° (4x) 4 x 30= 120°
  • 20. (4x -12) If the value of x is chosen at random from {8, 10, 15, 22, 34} what is the probability that <T is an obtuse angle? T 1) Fill in x with each number and multiply to see what you end up with 2) Find out what your probability is for it being an acute angle (4x-12) 4(8) -12= 20° (4x) 4(10) - 12= 28° (4x-12) 4(15) - 12= 48° (4x - 12) 4(22) - 12= 76° (4x-12) 4(34) - 12= 124° 1 out of 5