If AB || CD, what is the value of x? (please see the attached picture)
(A) 75
(B) 85
(C) 95
(D) 105
(E) 115
Source: BTG Practice questions
OA is A
What confuses me is the following: if AB || CD then angle BAD is equal to angle ADC; so, angle BAE is 5 degrees (60-55). Angle AED is 65 and CEF is 65 as well. Therefore, angle EFC is 75 degrees (as is x).
Angle CEA is 115 (180-65) and angle ECB is 105 (180-75).
If so, how come the sum of all angles of the polygon ABEC is not 360 degrees but 300 degrees?
(A) 75
(B) 85
(C) 95
(D) 105
(E) 115
Source: BTG Practice questions
OA is A
What confuses me is the following: if AB || CD then angle BAD is equal to angle ADC; so, angle BAE is 5 degrees (60-55). Angle AED is 65 and CEF is 65 as well. Therefore, angle EFC is 75 degrees (as is x).
Angle CEA is 115 (180-65) and angle ECB is 105 (180-75).
If so, how come the sum of all angles of the polygon ABEC is not 360 degrees but 300 degrees?
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Last edited by ikaplan on Tue Nov 08, 2011 10:02 am, edited 1 time in total.
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