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If yo = 45o, is xo = 90o?
I.  AB is parallel to YZ
II.  AB = AY
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficien
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • d)
    EACH statement ALONE is sufficient. 
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If yo = 45o, is xo = 90o?I. AB is parallel to YZII. AB = AYa)Statement...
Steps 1 & 2: Understand Question and Draw Inferences
In ΔABY,
xo + yo + Angle ABY = 180o
  • xo + 45o + Angle ABY = 180o
  • xo + Angle ABY = 135o
We need to find if x is a right angle or not, i.e. if x = 90o.
For this we need the value of Angle ABY.
Step 3: Analyze Statement 1
Given that AB is parallel to YZ.
  • xo + 2yo = 180 (Since both of them are consecutive interior angles).
Given that y = 45o
  • x = 90o
Therefore, statement 1 is sufficient to arrive at a unique answer.
Step 4: Analyze Statement 2
Given AB = AY.
Therefore, Angle ABY = yo = 45o (given)
Therefore, xo + 45o = 135o
  • x = 90o
 Therefore, statement 2 is sufficient to arrive at a unique answer.
Step 5: Analyze Both Statements Together (if needed)
Since we arrived at a unique answer in at least one of step 3 and step 4, this step is not necessary.
Correct Answer: D
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Most Upvoted Answer
If yo = 45o, is xo = 90o?I. AB is parallel to YZII. AB = AYa)Statement...
I: parallel, so both angles should sum up to 180. angleY is 90, hence. X is 90.II: 2 sides are equal, means it is an isosceles triangle. two sides are 45. hence third side is 90 so that the sum is 180.
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If yo = 45o, is xo = 90o?I. AB is parallel to YZII. AB = AYa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficienc)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?
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