Download Find the unknown (labeled) angles. Give reasons for your solutions.

Name____________________
Common Core Geometry R
Date_____________
HW #2 (Missing angles and transversals)
Find the unknown (labeled) angles. Give reasons for your solutions.
1.
e
d
35
0
0
145
<e = _________
0
• ll lines form = alt. int ≮'s. (35 )
• Linear pairs form supplementary angles.
(answer)
0
2.
37o
47 Reason: ll lines form = alt. int ≮'s.
m≮t = _____
to
o
r
o
s
47
0
37 Reason: ll lines form = alt. int ≮'s.
m≮s = _____
o
47
no
0
0
37
Reason: vertical ≮'s are =.
m≮n = _____
0
96
Reason: ≮'s on a line sum to 180.
m≮r = _____
3. Draw an auxiliary line.
• ll lines form = alt. int ≮'s.
0
36
0
56
• same side interior angles are supplementary.
• Angle addition postulate (answer)
92
0
4. Draw an auxiliary line.
114
0
• ll lines form = corresponding angles.
0
0
117 63
0
0
129 51
0
0
(117 and 129 )
• Linear pairs form supplementary angles.
0
0
(63 and 51 )
5. Draw an auxiliary line.
46
50
0
0
• Angle addition postulate (1140)
46
0
0
• same side interior angles are supplementary. (50 )
• Angle addition postulate (46 )
0
• ll lines form = alternate interior angles.
OVER
6.
0
144
b = _____
b
• Vertical angles are =. (36 )
0
36
36
0
0
360
• ll lines form = corresponding angles. (360)
• same side interior angles are supplementary.
7.
140
0
a = _____
140
0
• same side interior angles are supplementary.
a140
0
40
0
74
66
0
40
0
• Angles that form a linear pair sum to 180 .
0
b = _____
40
0
0
• Vertical angles are =. (40 )
0
40 b
0
8.
50
50
0
0
• ll lines form = alternate interior angles.
50
0
• ll lines form = alternate interior angles.
0
(50 )
9.
98
0
f
82
0
• Vertical angles are = in meaure.(f)
• same side interior angles are supplementary.
7x + 5 = 180
x = 25
4x - 2 = 98
x = 25
<f = 98
180 - 98 = 82