Answers1206310 Geometry Sem 1 - CarlisleEuclidean Geometry

Complementary and Supplementary Angles Answers

10 verified answers
1
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3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P.

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A
He is correct. The angles share a common vertex so they are a linear pair.
B
He is correct. The angles share a common ray so they are a linear pair.
C
He is incorrect. Angle ORP does not form a linear pair with another angle in the diagram.
D
He is incorrect. Ray RO and ray RL are not opposite rays.
2
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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
3

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
4

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
5

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
6

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
7

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
8

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°
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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