Statement (1) RQ = RS .mwest wrote:
That means angle <RQS = <RSQ
But x is the exterior for triangle RQS .
Hence <RQS + <RSQ = x
we know <RQS = <RSQ
thus <RQS = <RSQ = x/2
But we can not find x .
Insufficient .
Statement (2)
ST = UT
That means <UST = < TUS
again x is exterior angle to triangle UTS .
thus <UST + < TUS = x
and <UST = < TUS = x/2
Again we can not find x .
Insufficient .
Combine (1) and (2)
we know <RSQ = x/2 and we also know <TSU = x/2
Thus <RSQ + x + <TSU = 180 .
hence x/2 + x/2 +x = 180 .
We can get X .
[spoiler]So Ans = C[/spoiler]
