What is an angle between 90 and 180 degrees called?
Question 7
7.
What type of angle measures between 0 and 90 degrees?
Question 8
8.
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Question 9
9.
Select all the adjacent angles to ∠1
Question 10
10.
Select all the vertical angles to ∠6
Question 11
11.
What is the value of x?
Question 12
12.
What are the values of x, y, and z?
x°=_______
y°=_______
z°=_______
Question 13
13.
If m∠GHJ= 27 and m∠GHK= 87, what is the measure of m∠JHK?
Question 14
14.
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x.
Question 15
15.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 16
16.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 17
17.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 18
18.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 19
19.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 20
20.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 21
21.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 22
22.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 23
23.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 24
24.
Name the angle relationship between the two indicated angles in the diagram:
These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 25
25.
If m∠1 = 65°, find each measure.
m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠6=_______
m∠7=_______
m∠8=_______
Question 26
26.
If l ∥ m, then solve for x.
Question 27
27.
If l ∥ m, then solve for x.
Question 28
28.
Find the value of x.
x=_______
Then, find the measure of each labeled angle.
(7x+10)° = _______ °
(15x +16 )° = _______ °
Question 29
29.
Find the value of x.
x=_______
Then, find the measure of each labeled angle.
(6x+20)° = _______ °
(8x)° = _______ °
Study Guide Day 2 (5/26/23)
Sums of the Interior Angles of a Polygon
Page 12
Question 30
30.
Question 31
31.
Find the sum of the measures of the interior angles in each polygon.
5-gon
_______ degrees
13-gon
_______ degrees
105-gon
_______ degrees
Question 32
32.
Find the value of x.
Sums of the Exterior Angles of a Polygon
Page 13
Question 33
33.
Find the value of x.
Parallelograms
Question 34
34.
If each quadrilateral below is a parallelogram, find the missing measures.
MN=_______
KN=_______
Do not for get to use the degree symbol in your answers. ( ° )
m∠K=_______
m∠L=_______
m∠M=_______
Question 35
35.
Figure JKLM is a parallelogram
x=_______
KL=_______
Question 36
36.
Figure QRST is a parallelogram
x=_______
y=_______
Rectangles
Question 37
37.
If each quadrilateral below is a rectangle, find the missing measures.
VW=_______
WX=_______
YW=_______
ZX=_______
VX=_______
Question 38
38.
If each quadrilateral below is a rectangle, find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )
m∠BCD=_______
m∠ADE=_______
m∠ABD=_______
m∠AEB=_______
m∠CBE=_______
m∠DEA=_______
Question 39
39.
If each quadrilateral below is a rectangle, solve for x.
x=_______
Do not for get to use the degree symbol in your answers. ( ° )
m∠JHI=_______
Rhombi
Question 40
40.
If each quadrilateral below is a rhombus, use the given information to find the missing measures.
CD=_______
FD=_______
EF=_______
EC=_______
Question 41
41.
If each quadrilateral below is a rhombus, use the given information to find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )
m∠KNL=_______
m∠KJL=_______
m∠MLK=_______
m∠JKM=_______
m∠JML=_______
Question 42
42.
If each quadrilateral below is a rhombus, use the given information to find the missing measures.
x=_______
PQ=_______
Question 43
43.
If each quadrilateral below is a rhombus, use the given information to find the missing measures.
x=_______
Do not for get to use the degree symbol in your answers. ( ° )
m∠ADB=_______
m∠BAD=_______
Squares
Question 44
44.
If the quadrilateral below is a square, find the missing measures.
VU=_______
SU=_______
TV=_______
SW=_______
Question 45
45.
If the quadrilateral below is a square, solve for x and find the missing measures.
x=_______
Do not for get to use the degree symbol in your answers. ( ° )
m∠RQT=_______
m∠PTQ=_______
Trapezoids
Question 46
46.
If the quadrilateral below is a trapezoid, find the missing measures.
Do not for get to use the degree symbol in your answers. ( ° )
m∠C=_______
m∠E=_______
Question 47
47.
If the quadrilateral below is a trapezoid, find the missing measures.
Find x=_______
Do not for get to use the degree symbol in your answers. ( ° )
m∠VST=_______
Question 48
48.
If the quadrilateral below is a trapezoid, find the missing measures.
Find x=_______
Do not for get to use the degree symbol in your answers. ( ° )
m∠M=_______
m∠N=_______
m∠O=_______
m∠P=_______
Midsegments of Trapezoids
Question 49
49.
Find AB.
AB=
Question 50
50.
Find ML.
x=_______
ML=_______
Use this example to answer the following questions
Question 1
1.
Name the vertex of the angle.
Question 2
2.
Name the sides of the angle.
_______
_______
Question 3
3.
Give three ways to name the angle.
_______
_______
_______
Question 4
4.
Classify the angle.
Match the definition of the angle relationship with the angle relationships it describes...
Two angles that share a vertex and
a common side. They are next to each other
Vertical angles
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
Supplementary angles
Any two angles whose sum is 180°
Complementary angles
Any two angles whose sum is 90°
Linear pairs
Two angles that are
adjacent and supplementary.
They form astraight line!
Adjacent Angles
What is the formula for finding the sum of the interior angles of a regular polygon?
