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Bunuel
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Looking at the question. Option 1 can be easily ruled out as angle a can take any value (figure not drawn to scale) ,hence ll and III looks correct. Ans. D.

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Bunuel

In the figure above, L2 is perpendicular to L1. Which of the following must be true?

I. a = 70
II. If a = 70, then b = 20
III. If b = 20, then a = 70

(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II and III

Using the figure above, we see that a + b = 90.

Let’s analyze each Roman numeral.

I. a = 70

Since we know only that the sum of a and b is 90, we cannot determine whether a = 70. Roman numeral I does not have to be true.

II. If a = 70, then b = 20

Since the sum of a and b is 90, if a = 70, then b = 20. II is true.

III. If b = 20, then a = 70

For the same reasons mentioned in II, III is true.

Answer: D
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In the figure above, L2 is perpendicular to L1. Which of the following must be true?

I. a = 70
II. If a = 70, then b = 20
III. If b = 20, then a = 70

(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II and III


based on figure, a+b = 90
only II and III fulfill that condition
So, Answer must be: D
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