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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?
- 75°
- 58° (correct)
- 45°
- 90°
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?
- It cannot be determined.
- It is 122°. (correct)
- It is 90°.
- It is also 58°.
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?
- Opposite angles are equal. (correct)
- Adjacent angles are equal.
- All angles are equal.
- The angles are complementary.
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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