For the given figure, prove that AE is parallel to BD.
Asked by Topperlearning User | 5th Aug, 2014, 11:32: AM
In the above figure,
AE and BD are two lines cut by a transversal FC.
Also, the given angles are interior angles on the same side of the transversal.
Thus, in order to prove AE||BD, we have to check whether
AOP + BPO = 180o
(According to the property- "when a transversal cuts two lines, such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel")
AOP + BPO = 75o + 100o
= 175o 180o
Thus, AE is not parallel to BD.
Answered by | 5th Aug, 2014, 01:32: PM
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