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Angle Addition and Segment Addition
Contributed by: Barroga
  • 1. Find the value of a if Y is between X and Z.
    XY = 11, YZ = 4a, XZ= 83
A) 15
B) 12
C) 18
D) 20
  • 2. Find the value of x if B is in between C and D.
    CB = 2x, BD = 4x, BD = 12
A) 6
B) 1
C) 9
D) 3
  • 3. Find the value of b if Y is in between X and Z.
    XY =6b, YZ = 8b, XZ = 182
A) 15
B) 12
C) 13
D) 10
  • 4. Find the value of YZ if Y in between X and Z.
    XY = 7a, YZ = 5a, XZ = 6a +24
A) 14
B) 20
C) 24
D) 18
  • 5. Find the value of AB if B is in between A and C.
    AB =4x - 9, BC = 3x + 5, AC = 17
A) 3
B) 2
C) 5
D) 21
  • 6. Find the value of XZ if Y is in between X and Z.
    XY = 11d, YZ = 9d - 2, XZ = 5d + 28
A) 38
B) 26
C) 19
D) 22
  • 7. Find the value of a when Y is in between X and Z.
    XY = 3a - 4, YZ = 6a +2, XZ = 5a + 22
A) 7
B) 9
C) 4
D) 6
  • 8. Find the value of AC when B is in between A and C.
    AB = 12, BC = 8x - 2, AC = 10 x
A) 50
B) 38
C) 24
D) 26
  • 9. 130 degrees is a/an
A) acute angle
B) obtuse angle
C) reflex angle
D) right angle
  • 10. 75 degrees is a/an
A) obtuse angle
B) reflex angle
C) acute angle
D) straight angle
  • 11. 270 degrees is a/an
A) reflex angle
B) obtuse angle
C) straight angle
D) acute angle
  • 12. 90 degrees is a/an
A) acute angle
B) reflex angle
C) right angle
D) obtuse angle
  • 13. Given: ray XB is an angle bisector of angle AXC.
    m<BXC = 4x + 6, m<AXB =3x + 10, find m<AXC.
A) 26
B) 44
C) 38
D) 22
  • 14. Given: ray BA bisects <EBC.
    If m<ABE = 2x + 7, and m<ABC = 4x - 13, find m<ABE.
A) 30
B) 27
C) 16
D) 28
  • 15. Given: ray BA bisects <EBC.
    If m<ABE = 5x - 3, and m<ABC = 3x + 9, find m<ABE.
A) 24
B) 32
C) 27
D) 28
  • 16. Given: ray XB is an angle bisector of angle AXC.
    m<BXC = 4x + 6, m<AXB =3x + 10, find m<AXB.
A) 16
B) 44
C) 22
D) 33
  • 17. Find the value of a if Y is between X and Z.
    XY = 5a + 11, YZ = 4a, XZ= 83
A) 9
B) 6
C) 7
D) 8
  • 18. Find the value of YZ if Y is between X and Z.
    XY = 3a , YZ = a + 5, XZ= 29
A) 8
B) 11
C) 6
D) 10
  • 19. Find the value of YZ if Y is between X and Z.
    XY = 8a , YZ = 3a - 9, YZ= 2a
A) 27
B) 36
C) 18
D) 9
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