Podcast
Questions and Answers
Can two obtuse angles form a linear pair?
Can two obtuse angles form a linear pair?
Which pair of angles below form a linear pair?
Which pair of angles below form a linear pair?
What type of angles are ∠1 and ∠3 in relation to each other?
What type of angles are ∠1 and ∠3 in relation to each other?
If ∠1 is 70 degrees, what is the measure of ∠3?
If ∠1 is 70 degrees, what is the measure of ∠3?
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When two lines intersect, what kind of angles are ∠1 and ∠2?
When two lines intersect, what kind of angles are ∠1 and ∠2?
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What happens when you rotate a copy of the figure by 180 degrees after fixing it at the point of intersection?
What happens when you rotate a copy of the figure by 180 degrees after fixing it at the point of intersection?
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Which of the following pairs of angles are vertically opposite angles?
Which of the following pairs of angles are vertically opposite angles?
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What is the complement of a 40º angle?
What is the complement of a 40º angle?
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In the figure, if ∠1 and ∠2 are supplementary and ∠1 is decreased, what should happen to ∠2 for them to remain supplementary?
In the figure, if ∠1 and ∠2 are supplementary and ∠1 is decreased, what should happen to ∠2 for them to remain supplementary?
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Can two obtuse angles be supplementary?
Can two obtuse angles be supplementary?
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If an angle is greater than 45º, what can be said about its complementary angle?
If an angle is greater than 45º, what can be said about its complementary angle?
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In the figure, which pair of angles forms a linear pair?
In the figure, which pair of angles forms a linear pair?
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If two angles are complementary, what is the sum of their measures?
If two angles are complementary, what is the sum of their measures?
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What do two angles form if their sum is 180 degrees?
What do two angles form if their sum is 180 degrees?
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In a linear pair of angles, what is the total measure of the two angles?
In a linear pair of angles, what is the total measure of the two angles?
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What do two adjacent supplementary angles form?
What do two adjacent supplementary angles form?
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In a figure where two lines intersect at a point, what are vertically opposite angles?
In a figure where two lines intersect at a point, what are vertically opposite angles?
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If one pair of vertically opposite angles at an intersection point are acute, what are the other pair?
If one pair of vertically opposite angles at an intersection point are acute, what are the other pair?
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In the context of parallel lines and transversals, what do alternate interior angles have in common?
In the context of parallel lines and transversals, what do alternate interior angles have in common?
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What distinguishes corresponding angles from other angle pairs?
What distinguishes corresponding angles from other angle pairs?
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Which type of angle pairs have the property of having different vertices and being in 'corresponding' positions?
Which type of angle pairs have the property of having different vertices and being in 'corresponding' positions?
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What is a key characteristic of exterior angles formed by a transversal with parallel lines?
What is a key characteristic of exterior angles formed by a transversal with parallel lines?
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Which statement best describes pairs of alternate exterior angles?
Which statement best describes pairs of alternate exterior angles?
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When drawing a transversal to parallel lines, what should be true about the alternate interior angles created?
When drawing a transversal to parallel lines, what should be true about the alternate interior angles created?
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What do we call angles that have a common vertex and a common arm but no common interior?
What do we call angles that have a common vertex and a common arm but no common interior?
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What type of angles are equal in measure when two lines intersect?
What type of angles are equal in measure when two lines intersect?
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What relationship is observed between the angles ∠1 and ∠5 when a transversal cuts two parallel lines?
What relationship is observed between the angles ∠1 and ∠5 when a transversal cuts two parallel lines?
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What type of angles are ∠3 and ∠6 in relation to each other?
What type of angles are ∠3 and ∠6 in relation to each other?
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What do we call the meeting point of two lines when they intersect?
What do we call the meeting point of two lines when they intersect?
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Which type of angles are ∠4 and ∠5 in relation to each other when two lines intersect?
Which type of angles are ∠4 and ∠5 in relation to each other when two lines intersect?
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Study Notes
Angle Relationships
- Two obtuse angles cannot form a linear pair.
- When two lines intersect, they form a linear pair, and the angles are supplementary.
Linear Pairs
- ∠1 and ∠2 form a linear pair, and their sum is 180 degrees.
- If ∠1 is 70 degrees, then ∠3 is 110 degrees.
Vertically Opposite Angles
- ∠1 and ∠3 are vertically opposite angles.
- When two lines intersect, vertically opposite angles are equal in measure.
Complementary Angles
- The complement of a 40º angle is 50º.
- If an angle is greater than 45º, its complementary angle is less than 45º.
Supplementary Angles
- If two angles are supplementary, their sum is 180 degrees.
- If two angles are complementary, their sum is 90 degrees.
- If ∠1 and ∠2 are supplementary and ∠1 is decreased, ∠2 must increase to remain supplementary.
Parallel Lines and Transversals
- Alternate interior angles have the same measure.
- Corresponding angles have the same measure and are in the same relative position.
- Exterior angles formed by a transversal with parallel lines are supplementary.
- Alternate exterior angles have the same measure.
- When drawing a transversal to parallel lines, alternate interior angles are equal in measure.
Angle Types
- Adjacent supplementary angles form a linear pair.
- Vertically opposite angles are equal in measure.
- Corresponding angles are equal in measure.
- Alternate interior angles are equal in measure.
- Alternate exterior angles are equal in measure.
General Angle Facts
- When two lines intersect, the vertically opposite angles are equal in measure.
- The meeting point of two lines when they intersect is called the point of intersection.
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Description
Test your knowledge on angles with questions about adjacency of angles, finding angle values, filling in blanks about complementary and supplementary angles, and relationships between angles formed by lines intersecting.
