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Questions and Answers
What is the measure of the angle formed by the two intersecting lines?
What is the measure of the angle formed by the two intersecting lines?
If one of the angles formed by the intersecting lines is 58°, what can you infer about the adjacent angle?
If one of the angles formed by the intersecting lines is 58°, what can you infer about the adjacent angle?
Which statement is correct regarding the angles at the intersection of the two lines?
Which statement is correct regarding the angles at the intersection of the two lines?
If the angle labeled as 58° is one of the angles at intersection, what is the sum of all angles at that intersection?
If the angle labeled as 58° is one of the angles at intersection, what is the sum of all angles at that intersection?
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What type of lines are formed by two intersecting lines creating various angles, including the one labeled as 58°?
What type of lines are formed by two intersecting lines creating various angles, including the one labeled as 58°?
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Study Notes
Angle Measurement & Relationships
- When two lines intersect, they form four angles.
- The angles formed by intersecting lines are called vertical angles and adjacent angles.
- Vertical angles are equal in measure.
- Adjacent angles are supplementary, meaning they add up to 180°.
- If one angle is 58°, its vertical angle is also 58°.
- The adjacent angle to the 58° angle is 122° (180° - 58° = 122°).
- The sum of all angles at the intersection is 360°.
Intersecting Lines
- Two intersecting lines form four angles.
- The angles formed are a combination of vertical and adjacent angles.
- The type of lines formed by intersecting lines depends on the angle measures.
- If any of the angles are right angles (90°), then the lines are perpendicular.
- If none of the angles are right angles, the lines are oblique.
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Description
This quiz tests your understanding of the angles formed by intersecting lines. You will explore relationships between angles, including adjacent angles and the sum of angles at an intersection. Answer questions based on a given angle of 58° and analyze the properties of intersecting lines.
