CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

3.3. Corresponding Angles http://www.ck12.org



  1. Draw the line from the arc intersections to pointB.


From this construction, we can see that the lines are parallel.


Example A


Ifm^68 = 110 ◦andm^64 = 110 ◦, then what do we know about lineslandm?


(^6) 8 and (^6) 4 are corresponding angles. Sincem (^68) =m (^6) 4, we can conclude thatl||m.
Example B
Ifm^62 = 76 ◦, what ism^6 6?
(^6) 2 and (^6) 6 are corresponding angles andl||m, from the markings in the picture. By the Corresponding Angles
Postulate the two angles are equal, som^66 = 76 ◦.

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