Question: Value of w

Comment on Value of w

ademini's picture

Dear Brent, this question negate the properties of a quadrilateral, ABDE appear to be a quadrilateral, then the sum should be equal 180.
I understand the quadrilateral was not focused but other questions provide several approach to solve same question. An attempt to look at it as a quadrilateral is impossible

Please comment
gmat-admin's picture

Hi Ademini,

You are correct to say that ABDE is a quadrilateral. However, the sum of the angles in a quadrilateral is 360 degrees (not 180).

Cheers,
Brent

As we know that this is a quadrilateral than as we know that in quadrilateral opposite angles are equal then why doesn't W equal 50?

OR THE PROPERTY MIGHT BE DIFFERENT FROM ABOVE?
gmat-admin's picture

That property you mentioned (opposite angles are equal) does not apply to all quadrilaterals.

It is true for squares, rectangles, rhombuses and parallelograms, but it is not true for other quadrilaterals.

Cheers,
Brent

Dear sir,

Can we solve it by adding all the angel of polygon and equating it by 360° please let me know if I can do so.
gmat-admin's picture

If quadrilateral ABDE is the polygon you're referring to, that approach just might work.

Try it, and see how you do.

Cheers,
Brent

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