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Transcript 
Angles Formed by Parallel Lines
and Transversals
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
If two parallel lines are cut by a transversal, then the pairs of
corresponding angles are congruent
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
If two parallel lines are cut by a transversal, then the pairs of alternate
interior angles are congruent
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
If two parallel lines are cut by a transversal, then the pairs of vertical
angles are congruent
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
If two parallel lines are cut by a transversal, then the pairs of same-side
interior angles are supplementary
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
If two parallel lines are cut by a transversal, then the pairs of alternate
exterior angles are congruent
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
Example 1: Using the Corresponding Angles
Postulate
Find each angle measure.
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
Find mQRS.
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
Example 2: Finding Angle Measures
Find each angle measure.
A. mEDG
B. mBDG
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
Example 3
Find mABD.
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
State the theorem or postulate that is related
to the measures of the angles in each pair.
Then find the unknown angle measures.
1. m1 = 120°, m2 = (60x)°
2. m2 = (75x – 30)°,
m3 = (30x + 60)°
3. m3 = (50x + 20)°, m4= (100x – 80)°
4. m3 = (45x + 30)°, m5 = (25x + 10)°
Holt McDougal Geometry
Angles Formed by Parallel Lines
and Transversals
Last 10! Using the Converse of the Corresponding
Angles Postulate
Use the Converse of the Corresponding Angles
Postulate and the given information to show
that ℓ || m.
4  8
4  8
ℓ || m
Holt McDougal Geometry
4 and 8 are corresponding angles.
Conv. of Corr. s Post.
Angles Formed by Parallel Lines
and Transversals
LAST 10!
Given: m3 = 2x, m7 = (x + 50), x = 50
Prove: r || s
Holt McDougal Geometry
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