Linear Pairs and Vertical Angles Answers

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2 intersecting lines are shown. A line with points M, H, K intersects a line with points L, H, J at point H. 4 angles are created. Clockwise, from the top, the angles are (5 m + 100) degrees, blank, blank, (2 m + 10) degrees.

Question illustration
A
10
B
30
C
70
D
150
2
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4 lines are shown. A line with points A, F, D intersects with a line with points B, F, E at point F. A line extends from point F to point G between angle E F D. Another line extends from point F to point D in between angle B F D.

Question illustration
A
BFC
Option A
B
CFG
Option B
C
GFD
Option C
D
EFA
Option D
3

2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees.

Question illustration
A
35°
B
50°
C
72.5°
D
92.5°
4

3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle D F B. Angle A F E is 125 degrees and angle B F C is 45 degrees.

Question illustration
A
45°
B
80°
C
125°
D
135°
5

3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D.

Question illustration
A
DFB
Option A
B
CED
Option B
C
BFC
Option C
D
AFB
Option D
6

Given: mEDF = 120°; mADB = (3x)°; mBDC = (2x)°Prove: x = 24

Question illustration
A
vertical angles are congruent
B
substitution
C
definition of congruency
D
definition of equality
7

Given: mORP = 80° mORN = (3x + 10)°Prove: x = 30

Question illustration
A
ORP and ORN are a linear pair
Option A
B
ORP and ORN are vertical angles
Option B
C
80 = 3x +10
D
x = 30
8

2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees.

Question illustration
A
20°
B
50°
C
60°
D
130°
9

Given: mADE = 60° and mCDF = (3x + 15)°Prove: x = 15

Question illustration
A
Statement: 60 = 3x + 15; Reason: substitution
B
Statement: x = 15; Reason: subtraction property of equality
C
Statement: 60 = 3x + 15; Reason: transitive property
D
Statement: x = 15; Reason: subtraction and division properties of equality
10

2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. 4 angles are created. Clockwise, from the top, the angles are blank, (3 x) degrees, blank, (x + 40) degrees.

Question illustration
A
20
B
35
C
60
D
70

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