ABCD is a rhombus in which the altitude from d bisects AB. AE=EB. Therefore, angle A and angle B respectively are (of how many degrees).

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TopNewestI don't think this is from IMO (International Mathematical Olympiad). – Zi Song Yeoh · 3 years, 10 months ago

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– Vikram Waradpande · 3 years, 10 months ago

This is from an exam conducted here in India by a private company.Log in to reply

– Zi Song Yeoh · 3 years, 10 months ago

Oh, I see. Indian Mathematical Olympiad?Log in to reply

If the private organisations use names such as "IMO" and mislead the students, then its a very bad tactic to promote themselves. – Pranav Arora · 3 years, 10 months ago

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– Jun Das · 3 years, 9 months ago

its called international mathematics olympiad conducted by SOFLog in to reply

– Vikram Waradpande · 3 years, 10 months ago

Nope. Its a basic level contest conducted by a company.Log in to reply

Hey guys,I think she is talking of SOF IMO and not the Great and the one you all are thinking IMO!!!! – Kishan K · 3 years, 10 months ago

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– Neha Adepu · 3 years, 10 months ago

YOU,RE RIGHT!. It is a problem from the work book.Log in to reply

Consider the sides of the rhombus to be of length \(x\), i.e., \(AD=x\). So, \(AE= \frac{x}{2}\).

Let \(\angle A= \theta\). So, \(cos \theta = \frac{AE}{AD} =\frac{1}{2}\)

\(\implies \theta =60^o\) \(\implies \angle A=60^o\) and \(\angle B=180^o-60^o=120^o\)(As they are interior opposite angles) – Maharnab Mitra · 3 years, 10 months ago

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ANGLE A=60 ANGLE B=120 – Avishkar Rajeshirke · 3 years, 10 months ago

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Consider- \(DA = x\)

\(AE = x/2\)

\(EB = x/2\)

\(DE = x^{2} - (x/2)^{2}\) \(= \sqrt{3}x/2\)

\(DB = x\) (

Pythagoras Theorem)\(DA = x , DB = x , AB = x\)

\(ADB\) is an Equilateral triangle

Thus, \(A = 60°\) \(B = 120°\) – Rashmi B K · 3 years, 10 months ago

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– Neha Adepu · 3 years, 10 months ago

THANK YOU!!!Log in to reply

I think is 180 degrees – Yen Loong · 3 years, 10 months ago

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This que is not from IMO ! – Rashmi B K · 3 years, 10 months ago

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If this problem is from IMO, please tell me what year and what question. – Anton Than Trong · 3 years, 10 months ago

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– Avishkar Rajeshirke · 3 years, 10 months ago

Thats Indian Maths OlympiadLog in to reply

– Neha Adepu · 3 years, 10 months ago

this problem is not from the main exam, it is from the workbookLog in to reply