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Bunuel
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In ∆ABC to the right, what is the value of y?

(1) AB = AC

Means this is Isosceles Triangle

2y + x = 180

However, in order to determine value for y we need to know at least x or z angle.

Hence, (1) is =====> NOT SUFFICIENT

(2) x = 30

This gives us value of x, however, we cannot determine the value of y and z based on this

Hence, (2) is =====> NOT SUFFICIENT

Now, lets combine (1) & (2)

x = 30

2y + x = 180

2y + 30 = 180

2y = 150

y = 75

Hence, Answer is C
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Can someone please clarify the statement "In ∆ABC to the right"? Is it same as triangle ABC is right angle triangle?
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goalMBA1990
Can someone please clarify the statement "In ∆ABC to the right"? Is it same as triangle ABC is right angle triangle?

No. Nowhere it is mentioned that triangle ABC is a right angled triangle.

Tri ABC to the right simply means that the Figure in the problem is at the right hand side.
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