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Linear Pairs and Vertical Angles Answers

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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
2
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3

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
4

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5

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7

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8

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9

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
12

mSRW = °

Answer:

95

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