AnswersReading HS- Integrated Math ICongruent Angle Pairs

Congruent Angle Pairs Answers

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Analyze the diagram below and complete the instructions that follow.

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Answer:

Responses may vary but should include some or all of the following information:To find x and y, use the linear pairs of angles and set the sums of the expressions equal to 180 degrees. 6x + 35 + 8x – 23 = 180 14x = 168 x = 12 and 3y + y + 88 = 180 4y = 92 y = 23 Looking at vertical angles ZAY and WAX, we find the measures to be 3(23) = 69 and 8(12) – 23 = 73. However, since vertical angles are congruent, angles ZAY and WAX should have the same measure. Making this figure not possible.

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Let . If is a supplement of , and is a complement of , what is ? A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
4

Analyze the diagram below and complete the instructions that follow.Find . A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
5

Analyze the diagram below and complete the instructions that follow.Find the value of . A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
6

Analyze the diagram below and complete the instructions that follow.Identify a pair of vertical angles in the figure.

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and
B
and
C
and
D
and
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Determine the missing statement and reason in the following proof. Given: is complementary to is complementary to Prove: Statements Reasons 1. is complementary to 1. Given 2. is complementary to 2. Given 3. _____________ 3. Vertical angles theorem 4. 4. __________________

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A
Statement 3: Reason 4: Congruent complements theorem
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Statement 3: Reason 4: Congruent supplements theorem
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Statement 3: Reason 4: Congruent supplements theorem
D
Statement 3: Reason 4: Vertical angles theorem
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Analyze the diagram below and complete the statement that follows. If is complementary to , then __________. A. is complementary to B. C. is supplementary to D. Please select the best answer from the choices provided

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A
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B
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C
D
D
9

Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y?

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20
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70
C
90
D
110
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Analyze the diagram below and complete the instructions that follow. Name the angles that are supplements to .

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, , and
B
, , and
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, , and
D
, , and
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Analyze the diagram below and answer the question that follows. How many pairs of vertical angles are in the figure?

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5
B
6
C
7
D
8

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