Transcript Use Parallel Lines and Transversals

Use Parallel Lines and
Transversals
3.2
Essential Question
 How are corresponding angles and alternate interior
angles related for two parallel lines and a
transversal?
 M11.B.2.1,M11.B.2.2, M11.C.1.2, M11.C.3.11
More Postulates and Theorems
Which angle pairs have the same angle measure
by the Corresponding Angle Postulate?
<a & <e, <b & <f,
<c & <g, <d & <h
What angle pairs are congruent according to the
Alternate Interior Angles Theorem?
<c & <f, <d & <e
Which angle pairs are congruent according to the
Alternate Exterior Angle Theorem?
<a & <h, <b & <g
Which angle pairs are supplementary according
to the Consecutive Interior Angles Theorem?
<c & <e, <d & <f
How can you find the value for x?
3x – 10 = 140
3x = 150
x = 50
How would you find the value for x?
By the Consecutive Interior Angles
Theorem we know that the sum of these
angles is 180.
113 + 2x – 25 = 180
2x + 88 = 180
2x = 92
x = 46
How would you find the value for x?
Consecutive
Interior
Angles
3x + 2 + x + 2 = 180
4x + 4 = 180
4x = 176
x = 44
The
The 6y˚
90˚ angle
angle and
and the
the 3y˚
2x˚ angle
angle are
are
Consecutive
Interior angles
angles so
so we
we
Consecutive Interior
know
know they
they are
are supplementary,
supplementary, so
so
their
their sum
sum is
is 180˚
180˚
6y90
+ +3y2x= =180
180
9y2x==180
90
y x= =20
45