# Problem from IMO

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).

5 years, 6 months ago

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I don't think this is from IMO (International Mathematical Olympiad).

- 5 years, 6 months ago

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

- 5 years, 6 months ago

Oh, I see. Indian Mathematical Olympiad?

- 5 years, 6 months ago

No way, I doubt they ask such easy questions. As Vikram said, it must be a contest by some private organisation.

If the private organisations use names such as "IMO" and mislead the students, then its a very bad tactic to promote themselves.

- 5 years, 6 months ago

its called international mathematics olympiad conducted by SOF

- 5 years, 5 months ago

Nope. Its a basic level contest conducted by a company.

- 5 years, 6 months ago

Hey guys,I think she is talking of SOF IMO and not the Great and the one you all are thinking IMO!!!!

- 5 years, 6 months ago

YOU,RE RIGHT!. It is a problem from the work book.

- 5 years, 6 months ago

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)

- 5 years, 6 months ago

This que is not from IMO !

- 5 years, 6 months ago

I think is 180 degrees

- 5 years, 6 months ago

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, $$A = 60°$$ $$B = 120°$$

- 5 years, 6 months ago

THANK YOU!!!

- 5 years, 6 months ago

ANGLE A=60 ANGLE B=120

- 5 years, 6 months ago

If this problem is from IMO, please tell me what year and what question.

- 5 years, 6 months ago

- 5 years, 6 months ago

this problem is not from the main exam, it is from the workbook

- 5 years, 6 months ago