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Angle Relationships - Geometry

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Last updated almost 5 years ago
6 questions
2
2
Use the image to answer questions 3 and 4.
2
2
2
5
Question 1
1.

Find x.

Question 2
2.

Find x.

Question 3
3.

Find x.

Question 4
4.

Find y.

Question 5
5.

Categorize the angles by their value.

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 154°
  • 26°
Question 6
6.

Complete the proof by matching the statement to the reason.
m\Vert n; l is a transversal. Prove \angle1\ and\ \angle2 are supplementary; \angle3\ and\ \angle4 are supplementary.

Draggable itemarrow_right_altCorresponding Item
m\angle1=m\angle4, m\angle2=m\angle3
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Given
\angle1\cong\angle4, \angle2\cong\angle3
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Definition of a linear pair
m\Vert n; l is a transversal
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It two angles for a linear pair, then they are supplementary.
\angle1\ and\ \angle3 are supplementary, \angle2\ and\ \angle4 are supplementary
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Alternate Interior Angles Theorem
\angle1\ and \ \angle3 form a linear pair; \angle2\ and \ \angle4 form a linear pair.
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Definition of congruence
\angle1\ and\ \angle2 are supplementary, \angle3\ and\ \angle4 are supplementary.
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Substitution