Data Sufficiency

How would you guys solve this Data Sufficiency question?

Thanks
André[/img]

Hi Andre!

IMO [spoiler]D
[/spoiler]
angle(PRS) - angle(PQR) = ?


angle(QPR) + angle(PRQ) + angle(PQR)= 180

angle(PRS) = 180 - angle(PRQ)

angle(PRQ) = 180 - angle(PRS)

angle(QPR) + 180 - angle(PRS) + angle(RQP) = 180

angle(QPR) + angle(PQR) = angle(PRS)

angle(PRS) - angle(PQR) = angle(QPR)

(1) angle(QPR) = 30

it is SUFFICIENT

(2) angle(PRQ) + angle(PQR) = 150

angle(QPR) + angle(PRQ) + angle(PQR)= 180

angle(QPR) + 150= 180

angle(QPR) = 30

it is SUFFICIENT

so answer is D

hope it helps!

Best,
Maciek

I want to note that when seeing a question like this one where 1) and 2) are telling the exact same thing, the only possible answer is either D or E. On test day, it will be helpful to know this even when you have to guess.