1.9. Linear Pairs http://www.ck12.org
( 7 q− 46 )◦+( 3 q+ 6 )◦= 180 ◦
10 q− 40 ◦= 180 ◦
10 q= 220 ◦
q= 22 ◦So, plug inqto get the measure of each angle.
m^6 ABD= 7 ( 22 ◦)− 46 ◦= 108 ◦ m^6 DBC= 180 ◦− 108 ◦= 72 ◦Example B
Are^6 CDAand^6 DABa linear pair? Are they supplementary?
The two angles are not a linear pair because they do not have the same vertex. However, they are supplementary,
120 ◦+ 60 ◦= 180 ◦.
Example C
Name one linear pair in the diagram below.
One example is^6 INMand^6 MNL.
Watch this video for help with the Examples above.
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter1LinearPairsB
Vocabulary
Adjacent anglesare two angles that have the same vertex, share a side, and do not overlap. Alinear pairis two
angles that are adjacent and whose non-common sides form a straight line. If two angles are a linear pair, then they
aresupplementary.
Guided Practice
- What ism^6 INL?
- What ism^6 LNK?
- Ifm^6 INJ= 63 ◦, findm^6 MNI.
Answers:
- 180◦