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milanproda
- Senior | Next Rank: 100 Posts
- Posts: 58
- Joined: Sat Sep 25, 2010 10:07 am
- Location: Belgrade, Serbia/ New York, USA
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In an isosceles triangle DEF, what is the measure of angle EDF?
1- Angle DEF is 96 degrees
2- Angle DFE is 42 degrees
Answer: Statement 2 alone is sufficient, but state 1 alone is not sufficient.
I will try to explain my logic as to why I though it was D (Each statement alone is sufficient). If you are given one angle in an isosceles triangle, could you find every other angle measure in the triangle?
For example, say that in angle DEF, the main angle (aka the non congruent one) is 96 degrees, could you not split the triangle into two right triangles, split the 96 by 2 (48 degrees each) and with that discern the third angle? (48 plus 90= 138. 180-138= 42 degrees.
So couldnt the answer be 4 (or D)?
1- Angle DEF is 96 degrees
2- Angle DFE is 42 degrees
Answer: Statement 2 alone is sufficient, but state 1 alone is not sufficient.
I will try to explain my logic as to why I though it was D (Each statement alone is sufficient). If you are given one angle in an isosceles triangle, could you find every other angle measure in the triangle?
For example, say that in angle DEF, the main angle (aka the non congruent one) is 96 degrees, could you not split the triangle into two right triangles, split the 96 by 2 (48 degrees each) and with that discern the third angle? (48 plus 90= 138. 180-138= 42 degrees.
So couldnt the answer be 4 (or D)?
Milan Prodanovic
[email protected]
[email protected]
