as The lengths of the diagonals of a rhombus are
to 150° and 120°. And the other three angles of
they aree equal to meede sements.
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Step-by-step explanation:
Consider a rhombus ABCD
It is given that
BD
AC
=
3
1
Let us consider that the diagonals intersect at O
In a rhombus diagonals bisect each other at 90
0
Therefore, ∠ABO=90
0
⇒tan∠ABO=
BO
AO
tan∠ABO=
BD/2
AC/2
tan∠ABO=
BD
AC
=
3
1
Therefore, ∠ABO=30
0
Hence, ∠B=∠D=2(30
0
)=60
0
Similarly tan∠BAO=
AO
BO
tan∠BAO=
AD/2
BD/2
tan∠BAO=
AD
BD
=
3
∠BAO=60
0
Hence, ∠A=∠C=2(60
0
)=120
0
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