Chapter 1 Review - Angles
Name ________________________________________Period:________
*** Remember to study the vocabulary !! ***
Answer the following with Always, Sometimes or Never
1.
2.
3.
4.
5.
6.
7.
8.
9.
Adjacent angles are supplementary.
Vertical angles are also adjacent angles.
Vertical angles form linear pairs.
Adjacent angles are complementary.
Adjacent angles are linear pairs.
Linear pairs are adjacent angles.
Complementary angles are adjacent.
Three angles can be supplementary if their sum is 180°.
KM bisects JKL . m JKM = (3x + 4)° and m MKL = (6x – 5)°. Find m JKL .
10. An angle measure 57.6°. Find its complement and its supplement.
11. Find the measure of the complement and supplement of J, where mJ = (2x – 4).
12. ABD and BDE are supplementary. Find the measures of both angles if ABD= 5x and BDE=17x – 18.
13. ABD and BDC are complementary. Find the measures of both angles if ABD= 4y +5 and BDC=4y +8.
Use the figure below to determine whether the angles are adjacent, adjacent and form a linear pair, or not adjacent.
Answers:
1. S 2.N 3.N 4.S 5.S
6.A 7.S 8. N 9.26
10.com. 32.4 supp.122.4
11.com.-2x+94 supp. -2x+184
12. 45 & 135
13. 43.5 & 46.5 14.adjacent
15. adj.&linear pr.
16. Not adj.
17. adj.
18. 35, acute
19. 110, obtuse
20. 15, acute
21. <ABC&<DBE;
<ABD&CBE
22. 81
23. X=39; 78,78,102,102
24. X=8; 71,71,109,109
25. x=4/3; 140,140,40,40
26. x=-2; 60,60,120,120
27. x=12; 55,55,125,125
28. x=15; 80,80,100,100
29. x=7; 48, 42
30. x=13; 45,45
31. x=11; 60, 52
32. x=7; 35,145
14.  1 and  2
15.  3 and  4
1
5
2
16.  2 and  5
3
4
17.  4 and  5
C
D
B
O
A
Using the picture above , find the following and indicate if each angle is right, acute, or obtuse (18-20):
18. mAOB = ________
__________________
19. mAOC= ________
__________________
20. mDOC= _________
_________________
21.
Name all pairs of vertical angles.
22. If mADC=124 and mADB=43, find mBDC.
A
A
B
C
B
D
D
C
E
SOLVE FOR X and FIND ALL ANGLE MEASURES! (23-32)
23.
24.
2x
x + 39
25.
3x + 85
7x + 53
26.
100 + 30x
-60x
30x
27.
70 +5x
28.
6x + 10
6x - 17
4x + 7
29.
7x - 25
30.
4x - 7
8x - 8
3x + 6
6x
31.
32.
C
A
5x + 5
5x
6x - 14
B
mA BD = 112
D
14x + 47