Question

ABCD is a parallelogram such that ∠BAD = 120o and AC bisects ∠BAD show that ABCD is a rhombus. Please answer by question as soon as possible as I have to submit it now. I will surely mark you the brainliest/

Answer 1

Answer:

yes it is possible,

Step-by-step explanation:

first draw diagram

my diagram is at the bottom of the problem

as it is parallelogram , the angle opposite to <BAD is 120 degrees

to prove that it is a rhombus we have to prove that all sides are equal

not angles

so,

we know that ac bisects <BAD

so <DAC = <CAB = 60 degrees

similarly <BCA and <DCA are 60 degrees

we can see that <CAB and <BCA are = to 60 degrees

so we can conclude that AB = BC

and BC = AD                    (opp sides of parallelogram are equal)

so we can conclude that AB=BC=CD=AD

thus ABCD is a rhombus

Mark as brainliest if you are satisfied with my answer