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Dear GMATPrepNow Brent

I have general question about irregular quadratic like the above, the sum of interior angles is 360 but does this mean the sum of opposite angles MUST equal to 180? Citing the graph above, does A+C =180 or B+D=180?

Thanks in advance
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Mo2men
Dear GMATPrepNow Brent

I have general question about irregular quadratic like the above, the sum of interior angles is 360 but does this mean the sum of opposite angles MUST equal to 180? Citing the graph above, does A+C =180 or B+D=180?

Thanks in advance

I believe the rule you're referring to involves a very special kind of quadrilateral, one that is inscribed in a circle (aka a cyclic quadrilateral)
In that very special case, the opposite angles add to 180.
More here: https://en.wikipedia.org/wiki/Cyclic_quadrilateral

Cyclic quadrilaterals are not tested on the GMAT, so you won't encounter a question in which the correct answer depends solely on this rule.

Cheers,
Brent
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AB and DC are parallel as both make 90 deg on lie AD
for triangle ADC and BCD the base is same and the height is also same. hence the area is also same
we just need to find the area of ADC
16+12 = 28 (D)
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