goalMBA1990 wrote:

I have a query for statement 2. We are told that sum of any 3 angles is 270. So how can we assume that each will be 90? It can be any value. So ans should be E. What am I missing?

(2) The sum of

any 3 angles in the quadrilateral is 270 degrees

The key word here is ANY.

Let's call the 4 angles a, b, c and d

If ANY 3 angles add to 270, we can write 4 possible equations.

a + b + c = 270. This means that

angle d MUST EQUAL 90 degrees (since all 4 angles must add to 360 degrees)

a + b + d = 270. This means that

angle c MUST EQUAL 90 degrees (since all 4 angles must add to 360 degrees)

a + c + d = 270. This means that

angle b MUST EQUAL 90 degrees (since all 4 angles must add to 360 degrees)

b + c + d = 270. This means that

angle a MUST EQUAL 90 degrees (since all 4 angles must add to 360 degrees)

At this point, we shown that all 4 angles must equal 90 degrees.

Cheers,

Brent

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