Please solve this question If you answer questions I will make you branilist.
1 answer:
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Answer:
angle(ADB)=angle(CBD)
ADC+DCB=180
AE=CE
Step-by-step explanation:
we will verify each options
option-A:
we know that
ABCD is a parallelogram
so, AD and BC are parallel
and alternate interior angles are always equal
so,
angle(ADB)=angle(CBD)
so, this is TRUE
option-B:
we know that
ABCD is a parallelogram
so, AD and BC are parallel
so, we get
ADC+DCB=180
so, this is TRUE
option-C:
Since, AC is a diagonal of parallelogram
so, E is the mid-point between AC
AE=CE
so, this is FALSE
option-D:
Since, AC is a diagonal of parallelogram
so, E is the mid-point between AC
AE=CE
so, this is TRUE
option-E:
Since, AC and DB are diagonals of parallelogram
so, they can not be equal
so, this is FALSE