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What is the measure of angle A of hexagon ABCDEF? (1) For hexagon AB

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What is the measure of angle A of hexagon ABCDEF? (1) For hexagon AB  [#permalink]

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New post 16 May 2018, 22:23
2
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

6% (01:17) correct 94% (01:14) wrong based on 49 sessions

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What is the measure of angle A of hexagon ABCDEF?

(1) For hexagon ABCDEF, angle A = angle B = angle D = angle E.

(2) All sides of hexagon ABCDEF are equal.
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What is the measure of angle A of hexagon ABCDEF? (1) For hexagon AB  [#permalink]

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New post 17 May 2018, 13:30
What is the measure of angle A of hexagon ABCDEF?

(1) For hexagon ABCDEF, angle A = angle B = angle D = angle E.

(2) All sides of hexagon ABCDEF are equal.




2) If all sides are equal it's a regular hexagon and therefore all the angles are equal
- sum of interior angles of hexagon = (n - 2) * 180 = 4 * 180 = 720
- 720/6 = 120 degrees per angle --------------------> SUFFICIENT

1) Don't know if regular hexagon or not. If A, B, D, & E are equal then C & F are equal. This only tells us 4A + 2B = 720. A can have many values ---> INSUFFICIENT

ANSWER: B
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Re: What is the measure of angle A of hexagon ABCDEF? (1) For hexagon AB  [#permalink]

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New post 17 May 2018, 19:33
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Photo on 5-17-18 at 9.25 PM.jpg
Photo on 5-17-18 at 9.25 PM.jpg [ 101.84 KiB | Viewed 429 times ]


I think the answer is E. Uploaded picture is to support my analysis for both statements combined.

Statement 1
The 4 equal angles can all be 1 degree or 2 degrees etc. Not sufficient.

Statement 2
Equal sides does not imply equal angles. Picture a rhombus. Not sufficient.

Combining both statements
You can start with an equiangular and equilateral hexagon and squeeze it like the picture shows. All sides will continue to be equal and 4 angles will also be equal. Thus, combining both statements does not lead to a unique solution. Insufficient.

Answer: E
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Re: What is the measure of angle A of hexagon ABCDEF? (1) For hexagon AB  [#permalink]

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Re: What is the measure of angle A of hexagon ABCDEF? (1) For hexagon AB   [#permalink] 08 Aug 2019, 00:38
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