Download Complimentary angles: Angles that add up to 90 degrees

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Transcript
Angles
Complimentary angles: Angles that add up to 90 degrees.
Supplementary angles: Angles that add up to 180 degrees.
Vertical angles: The angles that are opposite of each other.
Transversal: A line that intersects two or more lines at different points.
Corresponding angles: A pair of angles that have the same relative position.
Alternate interior angles: Two angles that lie between the two lines on opposite
sides of the transversal.
Alternate exterior angles: Two angles that lie outside the two lines on opposite
sides of the transversal.
Angles
Complimentary angles: Angles that add up to 90 degrees.
Supplementary angles: Angles that add up to 180 degrees.
Vertical angles: The angles that are opposite of each other.
Transversal: A line that intersects two or more lines at different points.
Corresponding angles: A pair of angles that have the same relative position.
Alternate interior angles: Two angles that lie between the two lines on opposite
sides of the transversal.
Alternate exterior angles: Two angles that lie outside the two lines on opposite
sides of the transversal.
Example of Vertical Angles
Line M
The Vertical Angles are:
2
3
1
4
Line N
Example of Corresponding, alternate interior, and alternate exterior angles. Line A is the
transversal, and Lines B and C are parallel.
The Vertical Angles are:
Line A
The Corresponding Angles are:
1 2
3 4
Line B
The Alternate Interior Angles
are:
5 6
7 8
Line C
The Alternate Exterior Angles
are:
Example of Vertical Angles
Line M
The Vertical Angles are:
2
3
1
4
Line N
Example of Corresponding, alternate interior, and alternate exterior angles. Line A is the
transversal, and Lines B and C are parallel.
The Vertical Angles are:
Line A
1
3
5
7
6
8
2
4
The Corresponding Angles are:
Line B
Line C
The Alternate Interior Angles
are:
The Alternate Exterior Angles
are:
is parallel to
if 45° , what is the measure of m∠1 ?
In the diagram,
and
intersect at and
m∠A = 38° and m∠D = 72° what is the m∠AEC ?
If
m∠AEC means the measure of angle E but belongs to triangle AEC
Solve for each angle measure. Hint: solve for
first.
2 x + 30
is parallel to
if 45° , what is the measure of m∠1 ?
In the diagram,
and
intersect at and
m∠A = 38° and m∠D = 72° what is the m∠AEC ?
If
m∠AEC means the measure of angle E but belongs to triangle AEC
Solve for each angle measure. Hint: solve for
2 x + 30
first.