Question

Diagonals of a rhombus ABCD intersect each other at O, then measurement of vertically opposite angles AOB and COD are.





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Answer 1

Question :- Diagonals of a rhombus ABCD intersect each other at O then what are the measurement of vertically opposite angles AOB and COD

a) angle AOB= angle cod

b) angle ADO= Angle BCO

C) 60°,60°

d) 90°,90°

Answer :- a) ∠AOB = ∠COD and d) 90° , 90°

Explanation :-

Properties of Rhombus are :-

1. All sides of the rhombus are equal.
2. The opposite sides of a rhombus are parallel.
3. Opposite angles of a rhombus are equal.
4. In a rhombus, diagonals bisecting each other at right angles.
5. Diagonals bisect the angles of a rhombus.
6. The sum of two adjacent angles is equal to 180 degrees.
7. The two diagonals of a rhombus form four right-angled triangles which are congruent to each other.
8. You will get a rectangle when you join the midpoint of the sides.
9. You will get another rhombus when you join the midpoints of half the diagonal.
10. Around a rhombus, there can be no circumscribing circle.
11. Within a rhombus, there can be no inscribing circle.

Therefore,

→ ∠AOB = 90°.

→ ∠COD = 90° .

Learn more :-

3.

In the fig, AB || CD,FIND x.(Hint:Prove that AOB-COD).

https://brainly.in/question/17942233

Answer 2

option. d is correct

Step-by-step explanation:

90,90