Transcript 3.2 Parallel Lines Angles

Angles
Formed
by Parallel
Lines
Angles
Formed
by
Parallel
3-2
3-2 and Transversals
and Transversals
Section 3.2
Holt
Geometry
Holt
McDougal
Geometry
Lines
3-2
Angles Formed by Parallel Lines
and Transversals
Warm Up
Identify each angle pair.
1. 1 and 3
2. 3 and 6
3. 4 and 5
4. 6 and 7
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Find each angle measure.
A. mECF
B. mDCE
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Find mQRS.
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Helpful Hint
If a transversal is perpendicular to
two parallel lines, all eight angles are
congruent.
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Find each angle measure.
A. mEDG
B. mBDG
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Find mABD.
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Find x and y in the diagram.
Holt McDougal Geometry
3-2
Angles Formed by Parallel Lines
and Transversals
Find the measures of the acute angles in the
diagram.
Holt McDougal Geometry
3-2
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