Download - Use Parallel Lines and Transversals
3.2
Use Parallel Lines and Transversals
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?
3x + 2 + x + 2 = 1804x + 4 = 180
4x = 176
x = 44
Consecutive Interior Angles
The 90˚ angle and the 2x˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚
90 + 2x = 180
2x = 90
x = 45
The 6y˚ angle and the 3y˚ angle are Consecutive Interior angles so we know they are supplementary, so their sum is 180˚
6y + 3y = 180
9y = 180
y = 20