Angle Relationships
Angle Relationships w/ Parallel Lines
Complements & Supplements & Verticals
Find Your Angles!!
Justify!
100
Give an example of an acute angle.
<BFA; <DFE; <CFD
100
m<5 and m<7 are what type of angles?
Vertical Angles
100
If the measure of <A is 73°, find its complement.
17°
100
1.) What is the angle relationship?
2.) Find the m<4x
3.) Find the m<x
1.) Complementary Angles
2.) 72°
3.) 18°
100
Find a measure of <C using what you know.
Justify your answer!
<C = 150°
Vertical Angles
200
Give an example of an obtuse angle.
<BFD; <AFE; <AFC
200
<1 and <6 are what kind of angles?
Corresponding angles
200
If the measure of <E is 64°, find its supplement.
116°
200
1.) What is the m<x?
2.) What relationship do these angles have?
1.) m<x = 23°
2.) Complementary Angles
200
Find the measure of <8x-4.
What kind of relationship do these angles share.
8x-4 = 60°
Alternate interior angles (are congruent)
300
Give 2 examples of straight angles.
<BFE; <AFD
300
<3 and <5 are what kind of angles?
Alternate Interior Angles
300
If the measure of <R is 48°, find its complement AND supplement.
Complement= 42°
Supplement= 132°
300
1.) What relationship do these angles share?
2.) x+20 = ?
3.) 5x + 10 = ?
1.) Supplementary Angles
x + 5x + 20 +10 = 180
6x + 30 = 180
6x = 150
x = 25
2.) x + 20 = 45°
3.) 5x + 10 = 135°
300
Given m<2 = 122°
1.) Find the m<3. Justify.
2.) Find the m<6. Justify.
1.) 122° Vertical with <2
2.) 122° Alternate Interior with <3
or Corresponding with <2
400
Which pair of angles are complementary?
<CFD & <DFE
400
<2 and < 7 are what kind of angles?
Alternate Exterior Angles
400
If the measure of <C is 100°, and <C is vertical to <D. Find the measure of <D.
100°
400
1.) What kind of angle relationship do these angles share?
2.) x + 17 = ?
3.) 2x - 13 = ?
1.) Vertical angles
x + 17 = 2x - 13
17 = x - 13
30 = x
2.) x + 17 = 47°
3.) 2x - 13 = 47°
400
m<8 = 44°
1.) Find the measure of <6. Justify.
2.) Find the measure of <4. Justify.
3.) Find the measure of <1. Justify.
1.) m<6 = 136°. Supplementary with <8
2.) m<4 = 44°. Consecutive interior with <6.
or Corresponding with <8.
3.) m<1 = 44°. Vertical with <4.
Or Alternate exterior with <8
500
Which pair of angles are supplementary?
<AFC & <CFD; <BFC & <CFE; <AFB & <DFE
500
Using our knowledge of angle relationships, how would we kinds the angle measure of <8?
List at least 4 angle relationships.
1.) Corresponding with <4
2.) Vertical angle with <6
3.) Supplementary with <5 and <7
4.) Alternate Exterior Angles with <1
500
If m<6 is 124°, what is the measure of <5?
What kind of angle relationship do they share?
m<5 = 56°
Supplementary Angles
500
1.) What angles relationship do these angles share?
2.) <PQR (2x+40)
3.) <SQT (5x-110)
4.) Find m<RQS AND Justify
1.) Vertical Angles
2x + 40 = 5x - 110
150 = 3x
50 = x
2.) <PQR = 2(50) + 40 =140°
3.) <SQT = 5(50) - 110 = 140°
4.) <RQS = 180° - 140° = 40°
Supplementary with <PQR or <SQT
500
m<3 = 3x + 20°
m<7 = 4x - 10°
1.) Find m<3 and m<7. Justify.
2.) Find the m<6. Justify.
3.) Find the m<5. Justify.
1.) 3x + 20 = 4x - 10
30° = x
m<3 = 3(30) + 20 = 110°
m<7 = 4(30) - 10 = 110°
Corresponding angles are congruent.
2.) m<6 = 110°. Vertical with <7
or Alternate Interior with <3.
3.) m<5 = 70°. Supplementary with <7 or <6
or Consecutive Interior with <3.
600
Which pair of angles is vertical?
<BFA & <DFE; <BFD & <EFA
600
Using our knowledge of angle relationships, how would we kinds the angle measure of <5?
List at least 4 angle relationships.
1.) Vertical with <7
2.) Supplementary with <6 and <8
3.) Alternate Interior with <3
4.) Consecutive Interior with <4
5.) Corresponding with <2
600
If m<8 is 77°,
1.) Find the m<7. What relationship do they share?2.) Find the m<1. What relationship do they share?
3.) Find the m<4. What relationship do they share?
1.) m<7 = 103° ; Supplementary
2.) m<1 = 77° ; Alternate Exterior Angles
3.) m<4 = 77° ; Corresponding Angles
600
Given m<DBC = 36°
1.) Find the m<EBF
2.) What relationships do these angles share?
m<DBF = <DBC + <CBE + <EBF = 180°
180° = 36° + 90° + <EBF
180° = 126° + <EBF
54° = <EBF
2.) <DBC and <CBE are complementary angles
<DBC and <CBE, and <EBF are supplementary angles
600
m<1 = 2x+12°
m<3 = 3x - 7°
1.) Find the m<1 and m<3. Justify.
2.) Find the m<2. Justify.
3.) Find the m<6. Justify.
4.) Find the m<8. Justify.
5.) Find the m<7. Justify.
1.) 2x + 12 + 3x - 7 = 180°
5x + 5 = 180°
5x = 175°
x = 35°
m<1 = 2x+12 = 2(35)+12 = 82°
m<3 = 3x-7 = 3(35)-7 = 98°
Supplementary angles
2.) m<2 = 98°. Supplementary with <1
or Vertical with <3
3.) m<6 = 98°. Corresponding with <2.
Alternate interior with <3.
4.) m<8 = 82°. Alternate Exterior with <1
or Supplementary with <8.
5.) m<7 = 98°. Supplementary with <8.
or Corresponding with <3.