Respuesta :

Answer:

Option d) 115 degrees

Step-by-step explanation:

We are given a trapezium ABDE in the picture.  AB and ED are the parallel sides.

F is the mid point of AE and C the midpoint of BD.  FC is joined.

We are also given that angle of AED = 65 degrees.

To find the measure of angle BAE.

Since sides AB and ED are parallel sides we find that AE is the transvesal intersecting the two parallel lines.

Hence by parallel lines axiom, the two interior angles namely Angle AED and BAE are supplementary.

i.e. 65 +angle BAE=180

Hence angle BAE = 115 degrees.

Option d is the answer.