Transcript Chapter 3 practice

Chapter 3 Practice
Solve each problem before clicking on an
answer.
1.) Find the value of the variable
Hint
3x-10
x+10
2x
x = 20
x = 30
x = 25
x = 40
x = 10
2.) Find the value of the variable
Hint
2w
4w – 12
w + 22
w = 22.7
w = 30
w = 20
w = 34
w = 36
3.) Find the value of the variable
Hint
132
M x
124
104
136
192
256
114
4.) Find the value of the variable
Hint
h
34
74
34
38
72
108
40
5.) Find the value of the variable
z
28
40
76
40
48
68
46
36
Hint
6.) Find the value of the variable
41
68
20y
2.05
2
60
3
87
41
Hint
7.) Find the value of the variable.
The pentagon is regular
36
72
54
30
p
108
Hint
8.) Find the value of the variable if
the polygon below is regular.
12x
Hint
10
12
60
5
120
9.) The interior angle sum of a
convex polygon is 180 degrees
more than twice the exterior angle
sum. What polygon is this?
Hexagon
14-gon
Septagon
Hint
Decagon
Octagon
10.) Find the next number in the
sequence:
10, 30, 20, 60, 50, 150, 140, ___
130
280
Hint
330
420
450
11.) Find the value of the
variable
2w – 30
w
Hint
80
70
75
90
12.) Find the value of the variable
if this is a regular hexagon.
90
60
x
80
120
Hint
You are done. Please close this presentation.
Back to Question
Hint #1
• The three angles of a triangle have a sum
of 180 degrees.
Back to Question #1
Hint #2
• The exterior angle of a triangle is equal to
the sum of the remote interior angles.
Back to Question #2
Hint #3
• Draw an auxiliary line through point M that
is parallel to the other two lines.
Back to Question #3
Hint #4
• You could use corresponding angles of
parallel lines to find the second angle of
the triangle.
Back to Question #4
Hint #5
• Look for triangles for which you already
know 2 angle measurements.
Back to Question #5
Hint #6
• We already know two of the angles in the
bottom triangle, so we can find the third
angle.
Back to Question #6
Hint #7
• Two of the angles of the triangle are
exterior angles of the polygon.
Back to Question #7
Hint #8
• The sum of the interior angles of a polygon
can be found using the formula 180(n-2)
where n is the number of sides.
Back to Question #8
Hint #9
• Read the question and create an equation
by translating the words into a math
language.
Back to Question #9
Hint #10
• Find the first differences of the numbers in
this list and look for a pattern.
Back to Question #10
Hint #11
Make the angles that are congruent x and y as shown:
x
y
x
2w – 30
y
Back to Question #11
w
Then you can set up 2 equations.
One uses the three angles of the large triangle, and the other
uses the three angles of the smaller triangle.
Once you have the two equations it is possible to use systems
to eliminate both x’s and y’s.
Hint #12
• Find the measure of each interior angle of
the polygon.
• Then find the base angles of the isosceles
triangle formed.
• Then subtract the base angle from the
interior angle.
Back to Question #12