Angles Relationships
Find the missing angle
Angle Sum Theorem
Triangle Inequality
Angle Pairs
100
Two angles are corresponding. The measure of the first angle is 42 degrees, what is the measure of the second angle?
What is:
42
100
what is the complement of an angle that measures 12 degrees?
What is:
78 degrees
100
The sum of all the interior angles of a triangle.
What is 180o?
100
State the triangle inequality theorem.
What is "the sum of any two sides of a triangle must be greater than the third side"?
100
Identify the angle pair relationship.
angle 1= 59 degrees and angle 2=31 degrees
What is complementary?
Work: 59 + 31 = 90
200
If angle 1 and 2 are supplementary and the measure of angle 1 is 112, what is the measure of angle 2?
What is:
68 degrees
200
What is the supplement of an angle that measures 99 degrees?
What is:
81 degrees
200
Determine the missing angle.
What is 71o?
Work:
82 + 27 + x = 180
109 + x = 180
x = 180 - 109
x = 71
200
Determine if a triangle can be drawn with the sides 11, 12, and 17.
What is yes?
Work:
11 + 12 > 17
11 + 17 > 12
12 + 17 > 11
200
Identify the angle pair relationship.
What is supplementary?
Work: 82+r= 180o
-82 -82
r=98300
If angle 1 and 2 are both complementary, what is the measure of angle 1 if angle 2 is 32 degrees?
What is:
58 degrees
300
What is a measure of an angle that is vertical to an angle of 113 degrees?
What is:
113 degrees
300
Determine the missing angle.
What is 49o?
Work:
90 + 41 + x = 180
131 + x = 180
x = 180 - 131
x = 49
300
Determine if a triangle can be drawn with the sides 4, 8, and 15.
What is no?
Work:
4 + 8 < 15
300
Identify the angle pair relationship and solve for x.
What is complementary, x = 53o
Work:
x + 37 = 90
x = 90 - 37
x = 53
400
What is the relationship of two angles that share a vertex and form when two lines intersect?
What is:
Vertical angles
400
Angle a and b are complementary. Angle a is represented by x+2 and angle b is represented by x+8. Find the angle measures.
What is:
angle a= 42, angle b=48
400
Use the angle sum rule to determine the value of x.
What is x = 12o?
Work:
90 + 2x + 1 +5x + 5 = 180
96 + 7x = 180
7x = 84
x = 12
400
The missing side (x) must be at between ___ and ___ .
What is between 3 and 10?
Work: 3 + 8 = 11, but if x is bigger than 10 it will become the longest side .
(and the inequality wont work)
400
Identify the angle pair relationship and solve for x.
What is vertical angles, x = 49
Work:
126 = x + 77
126-77 = x
49 = x
500
Name the four angle relationships.
What is:
vertical, corresponding, alternate interior, and alternate exterior.
500
Angle A and B are vertical angles. Angle A is represented by 3x+12 and Angle B is represented by 2x+30. Find the angle measures.
What is:
Angle A and B are 66 degrees.
500
Use the angle sum rule to determine the value of x.
What is x = 14?
Work:
7x - 11 + 2x - 3 + 5x - 2 = 180
14x - 16 = 180
14x = 196
x = 14
500
Identify which set of numbers could NOT make a triangle.
(a)6,8,11
(b)9,12,19
(c)7,11,18
(d)5,6,7
What is (c)?
Work: 7 + 11 = 18
This is not greater than the other side (18) so these numbers cannot form a triangle
500
Identify the angle pair relationship and find the measure of q.
What is supplementary, q = 22
Work:
(7q−46) + (3q+6) = 180
10q − 40 = 180
10q = 180 + 40
10q = 220
q = 22