Question

ABCD is a rectangle whose diagonals intersect at 0. If AOD is an equilateral triangle, find OBC & OCD. Also state the properties used to find those angels
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Answer 1

Answer:

Since in a rec diagonal are equal and bisect each other

∴OD=OA

and  ∠S opp to equal sides are equal  

∴∠1=x

Now, In ΔODA

∠DOA=70  

0

 (vertically opp. ∠S)

x+∠1+70=180  

0

 (∠ sum prop)

and ∠1=x

∴x+x+70=180

2x=110

x=  

2

110

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x=55  

0

 

⇒  

∠ODA=55  

0

 

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Step-by-step explanation: