For the given figure, prove that AE is parallel to BD.

Asked by Topperlearning User | 5th Aug, 2014, 11:32: AM

Expert Answer:

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