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If a = 100, what is the value of c?

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by Brent@GMATPrepNow » Tue May 15, 2018 6:10 am
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If a = 100, what is the value of c?

(1) b = 30
(2) f = 50

Answer: D
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by Vincen » Wed May 16, 2018 12:51 am
Hello.

We know that a=100º.
(1) b = 30
Since

b+a+f=180º

then we have

30º+100º+f=180º -------------> f=50º.

Since f and c are opposite angles by the vertex then f=c=50º. SUFFICIENT.
(2) f = 50
Again, since f and c are opposite angles by the vertex then f=c=50º. SUFFICIENT.

Therefore, the correct answer is the option D.
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