Question

a rombous ABCD if A is 60degree
then find the sum of A and C​

Answer 1

Answer:

Let each side of the rhombus ABCD be a

∠A=60

o

So, ABD is an equilateral triangle

⇒AD=AB=a

We know that, the diagonals of a rhombus bisect each other a right angles

So, in right triangle AOB, we have AO

2

+OB

2

=AB

2

[By pythagoras Theorem]

AO

2

=AB

2

−OB

2

=a

2

−(a1/2)

2

=a

2

−a

2

/4

3a

2

/4

AO=√(3a

2

/4)=√3a/2

But, AC=2AO=2×

3

a/2=

3

a

Hence,

AC:BD=√3a:a=√3:1

Answer 2

Answer:

We know the it sum of corresponding angles of rombous or a parallelogram is 180°

so sum of a and c us

180°-60°=120°