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3 votes
A) give stating reasons five other angles each equal to x

b) prove that AECF is a parallelogram ​

A) give stating reasons five other angles each equal to x b) prove that AECF is a-example-1
User Khalil Meg
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1 Answer

17 votes
17 votes

Simple Proof:

a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and x. So now we can conclude that angel x is equal to angel 2.

b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is NOT a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )

User Anjil Dhamala
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