Angle Pairs
Upcoming SlideShare
Loading in...5
×
 

Like this? Share it with your network

Share

Angle Pairs

on

  • 15,309 views

 

Statistics

Views

Total Views
15,309
Views on SlideShare
14,662
Embed Views
647

Actions

Likes
1
Downloads
146
Comments
0

4 Embeds 647

http://ncvps.blackboard.com 616
http://www.edmodo.com 27
http://ncvps.blackboard.net 3
http://blackboard.cpsb.org 1

Accessibility

Categories

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

Angle Pairs Presentation Transcript

  • 1. Angle Pairs
  • 2. Complementary Angles
    Complementary angles are two angles whose measures have a sum of 90°.
  • 3. Complementary Angles
    These two angles (40° and 50°) are complementary because they add up to 90°.
    But the angles don't have to be together.These two are complementary because
    27° + 63° = 90°.
  • 4. Given that the two angles below are complementary, solve for the value of x and the angle measurements.
    mA 30
    mB  2x + 10
     30°
     60°
    mA + mB
    30 + 2x + 10
    2x
    2x
    x
    90
    90
    90 – 30 – 10
    50
    25
    =
    =
    =
    =
    =
  • 5. Given that the two angles below are complementary, solve for the value of x and the angle measurements.
    mC 2x + 20
    mD  3x – 5
     50°
     40°
    mC + mD
    2x + 20 + 3x – 5
    2x + 3x
    5x
    x
    90
    90
    90 – 20 + 5
    75
    15
    =
    =
    =
    =
    =
  • 6. Given that the two angles below are complementary, solve for the value of x and the angle measurements.
    mFEG 35 – x
    mGEH  45 + 2x
     25°
     65°
    mFEG + mGEH
    35 – x + 45 + 2x
    – x + 2x
    x
    90
    90
    90 – 35 – 45
    10
    =
    =
    =
    =
  • 7. Solve for the value of x and the measurements of the angles, given that each pair of angles are complementary.
    J = (5x – 18)° & K = (4x)°
    L = (45 – 2x)° & M = (40 + 3x)°
    NOP = (5x – 20) & POQ = (x – 10)°
    1 = (45 – x)° & 2 = (2x + 15)°
    R = x° & S = (2x + 6) °
  • 8. Solve for the value of x and the measurements of the angles, given that each pair of angles are complementary.
    J = (5x – 18)° & K = (4x)° 12 42 48
    L = (45 – 2x)° & M = (40 + 3x)° 5 35 55
    NOP = (5x – 20) & POQ = (x – 10)° 20 80 10
    1 = (45 – x)° & 2 = (2x + 15)° 30 15 75
    R = x° & S = (2x + 6) ° 28 28 62
  • 9. Supplementary Angles
    Supplementary angles are two angles whose measures have a sum of 180°.
  • 10. Supplementary Angles
    These two angles (140° and 40°) are supplementary because they add up to 180°.
    But the angles don't have to be together.These two are supplementary because
    27° + 63° = 180°.
  • 11. Given that the two angles below are supplementary, solve for the value of x and the angle measurements.
    mT 50
    mV  3x + 40
     50°
     130°
    mT + mV
    50 + 3x + 40
    3x
    3x
    X
    180
    180
    180 – 50 – 40
    90
    30
    =
    =
    =
    =
    =
  • 12. Given that the two angles below are supplementary, solve for the value of x and the angle measurements.
    mW 3x – 55
    mX  155 – x
     65°
     115°
    mW + mX
    3x – 55 + 155 – x
    3x – x
    2x
    x
    180
    180
    180 + 55 – 155
    80
    40
    =
    =
    =
    =
    =
  • 13. Given that the two angles below are supplementary, solve for the value of x and the angle measurements.
    mBYA 3x + 5
    mAYZ  2x
     110°
     70°
    mBYA + mAYZ
    3x + 5 + 2x
    3x + 2x
    5x
    x
    180
    180
    180 – 5
    175
    35
    =
    =
    =
    =
    =
  • 14. Solve for the value of x and the measurements of the angles, given that each pair of angles are supplementary.
    C = (2x – 2)° & D = (x – 34)°
    3 = (3x + 5)° & 4 = (5x + 5)°
    EFG = (x – 20)° & GFH = (x + 60)°
    J = (150 – x)° & K = (2x – 70)°
    LMN = (2x + 1)° & PQR = (3x – 1)°
  • 15. Solve for the value of x and the measurements of the angles, given that each pair of angles are supplementary.
    C = (2x – 2)° & D = (x – 34)° 72 142 38
    3 = (3x + 5)° & 4 = (5x + 5)° 15 100 80
    EFG = (x – 20)° & GFH = (x + 60)° 80 60 120
    J = (150 – x)° & K = (2x – 70)° 100 50 130
    LMN = (2x + 1)° & PQR = (3x – 1)° 36 73 107
  • 16. The Complement Theorem: Complements of congruent angles are congruent.
    Given:
    C and O are complementary
    P and M are complementary
    O  M
    Prove:
    C  P
  • 17. The Complement Theorem: Complements of congruent angles are congruent.
    STATEMENT
    C and O are complementary
    P and M are complementary
    O  M
    mC + mO = 90
    mP + mM = 90
    mC + mO = mP + mM
    mO = mM
    mC = mP
    C  P
    REASON
    Given
    Definition of complementary angles
    Transitive Property of Equality
    Definition of congruent angles
    Subtraction Property of Equality
    Definition of congruent angles
  • 18. Theorem: If two angles are complementary and adjacent, then they form a right angle.
  • 19. The Supplement Theorem: Supplements of congruent angles are congruent.
  • 20. Linear Pair
    A linear pair consists of two adjacent angles whose noncommon sides are opposite rays.
    Linear Pair Postulate: If two angles form a linear pair, then they are supplementary.
  • 21. Vertical Angles
    Vertical angles are two nonadjacent angles formed by two intersecting lines.
  • 22. Vertical Angle Theorem: Vertical angles are congruent.