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ej: i19 (cks)
Use the figures to complete these statements.
I, mLAFC + mLCFE
=
7fl LACE
=
3, rnLEFC ± mLCFA
=
4, mLFCB + mLDCF
=
2. ?flLACB +
5, rnLDCB
6. 7fl LACE
—
—
mLBA
=
rnLFCE
=
L
7, rnLGPH +mLHPK=
8. mLOPH + mLHPK
mLNPM
9. rnLNPL
—
10. mLOPK
-
mLOPH
1L Find mLPQR.
=
=
f\j
=
12. Find rnLDEF.
M
L
is a straight angle.
Find mLABD.
13. LABC
P
0
1 35
E
A
0
B
C
P
14. Find rnLXYZ.
15. LABC is a right angle.
Find mLDBC.
x
B
C
330
A
Y
16. Find mLDEF.
17. mLPQR
=
1100. Find mLSQR.
P
0370
0
P
18. rnLGHI
520.
=
19. rnLDEF
Find t.
Find y.
=
180°.
H
5t
C
In each figure, BD is the angle bisector of LABC.
20. Find rnLABC.
21. rnLABC
174°. Find
mLDBC and mLABD.
=
0
B
C
A
22. Find mLABC.
C
B
1500.
23. rnLABC
Find rn LABD and m LDBC.
B
B
R
C
0
24. Find x.
K3) 25.
LABC is a straight angle.
Find w.
A
B
A
C
lOw
U
C
B
ted id Appy
26. If QS is the angle bisector of LPQR and
rnLPQS
24° then mLSQR
=
P
=
120
(c) 48°
(D) 90°
27, Two sides oficture frame e glued together
to form a corner. Each side is first cut at an
angle of 45°. What is the measure of the angle
formed by the corner of the frame?
28. Suppose you have an angle drawn on a sheet of
paper. How could you fold the paper to find the
bisector of the angle?
(A)
I
—
—
P
j):
-LL
Tell ih ether L 1 and L2 are adjacent.
2.><
6./
5.
4
Tell whether Li and L2 form a linear pair.
7.
9.
2.
1
2
13. LR and LS form a linear pair. rnLR
=
14, CX and LYform a linear pair, mLY
=
132°. Find rnLS.
39°. Find mLX.
Extend nd Appy
15. Write always, sometzmes, or never to make the statement true.
cc,igruent to the supplement of
One angle of a linear pair is
the other angle.
16. Three lines are drawn through each pair of three noncollinear points.
How many linear pairs are formed?
17. Are LBFC and LCFD adjacent angles?
18. Do LBFC and LCFD form a linear pair?
19, Are LBFE and LEFA adjacent angles?
20. Do LBFE and LEFA form a linear pair?
A
D
E
3
21. An automobile traveling on Arcana Avenue
makes a 68° turn onto Chestnut Street,
Later, the driver turns around on Chestnut
and returns to Arcana to continue heading
in the original direction. At what angle will
the car turn onto Arcana?
22° (c) 112° (D) 158°
(4) 68°
Us Mathematica Reasonng
22. \iandell said, “Every linear pair of angles are
supplementary, but not every pair of supplementary
angles form a linear pair.” Do you agree or disagree?
Explain.
23. Write a convincing argument to show that if two angles
form a linear pair and have the same measure, then
each s a right angle.
24. Two angles form a linear pair. One is 90° larger than the
other. The larger angle is
times the size of the
smaller angle.
Mxd Revw
25. Name two pairs of complementary
angles E
26. Name four pairs of supplementary
angles
27 WhatlsmLAPD2
C
A
8. What EZrnLBPD?
29. Name a pair of opposite rays.
30. Find a I5, angle.
1310
0
qf): -7’
Identify each pair of complementary angles.
1.
2.
440
A
Find the measures of complements of angles with these measures.
5. 22°
6. 45°
7. 56°
8. 73°
9. 89°
10. t°
Identify each pair of supplementary angles.
11.
12.
*
1 4O
1390
339O
13.
14.
Find the measures of supplements of angles with these measures.
15. 119°
16, 129°
17. 143°
18. 57°
19. 74°
20. s°
21. CT
LS and mLT = 78°. Find the measures of the complement and
the supplement of CS.
22. CL
LK and mLK = 32°. Find the measures of the complement and
the supplement of CL.
23. If LA
LB and mLA = 63°, then the measure of the complement of
LB=
24. If LP
LP=
LQ and 7nLQ
=
108°, then the measure of the supplement of
25. Two complementary angles have the same
measure. What is the measure of each
angle?
26. What type of angle is the supplement of any
acute angle?
27. mLAEC = mLBED. What other angles have
the same measure?
28. Examine the protractor shown.
How does the outer scale relate
to the inner scale? Why is there
no inner reading at the 9QD
outer reading?
29. An angle’s supplement has a complement.
The angle must be
(A) acute
(B) right or obtuse
(c) right only
(D) obtuse only
30. Which angles are complementary?
31. Which angles are supplementary?
0
I-
A
-
0
A
E
105°
F
32. The measure of an angle is 15° greater than the meas
ure of
its supplement. Find the measure of each angle.
33. The measure of an angle is 88° less than the measure
of its
complement. Find the measure of each angle.