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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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16 May 2018, 21:23
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8% (01:22) correct 92% (01:16) wrong based on 53 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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17 May 2018, 12:30
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

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

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17 May 2018, 18:33
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Photo on 5-17-18 at 9.25 PM.jpg [ 101.84 KiB | Viewed 596 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.

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

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07 Aug 2019, 23:38
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Re: What is the measure of angle A of hexagon ABCDEF? (1) For hexagon AB   [#permalink] 07 Aug 2019, 23:38