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Math Forum » Discussions » Education » math-learn

Topic: [math-learn] Question about unknown angle in a Parallelogram.
Replies: 8   Last Post: Oct 11, 2011 9:59 AM

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Jon Wilson

Posts: 56
Registered: 9/25/05
[math-learn] Question about unknown angle in a Parallelogram.
Posted: Oct 10, 2011 10:42 PM
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Okay... This has me stumped!

I have a Parallelogram constructed from 4 intersecting lines, with the following internal angles: X, X and (180 - X)

The angle opposite (180 - X) is not given.

Since I can employ Corresponding, Alternate Interior and Exterior angles to this figure, is it safe to assume I could employ the "Exterior Angle Theorem" to produce:

(180 - X) = 2X

Thus... giving me X = 60 degrees?

Thoughts?

Jon

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