Linear Pairs and Vertical Angles Answers

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

Question illustration
A
AFE and BFD
Option A
B
BFC and DFE
Option B
C
AFE and CFD
Option C
D
BFC and EFA
Option D
2
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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
3

3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from point R to point U in between angle V R W.

Question illustration
A
WRU and SRT
Option A
B
WRS and VRT
Option B
C
VRU and TRS
Option C
D
VRT and SRT
Option D
4

In which diagram are angles 1 and 2 vertical angles?

A
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Option A
B
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
Option B
C
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
Option C
D
A horizontal line intersect with another line forming 4 angles. Labeled clockwise from top-left: 1, 2, blank, blank.
Option D
5

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°
6

In the diagram, which angles are vertical angles? Select two options.

A
ABE and ABC
Option A
B
ABE and CBD
Option B
C
ABE and EBD
Option C
D
ABC and EBD
Option D
E
ABC and CBD
Option E
7

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°
8

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
9

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°
10

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

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