Question

The figure shows a pattern of a regular hexagon and equilateral triangles.



Which of the following describes the correct method to find the measure of angle y?

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_Seg_Two_Exam_27/image0034e9d843c.jpg

Answer 1

The sum of the measures of the angles about a vertex is 2y + the sum of two interior angles of the triangle. y = (360°- 240°) ÷ 2.

The sum of an interior angle of the hexagon and an interior angle of an equilateral triangle is 360°. y = 360° – 60°.

The sum of an interior angle of the hexagon and an interior angle of each of two equilateral triangles is 180°. y = 180° – 120°.

The sum of 2y and an interior angle of each of two equilateral triangles is 360°. y = (360°- 120°) ÷ 2

Answer 2

It's A or C

Answer 3

@Calcmathlete

Answer 4

It's neither :/

Answer 5

A would be correct, but the mathematical part is incorrect.

Answer 6

Do you see how the mathematical part is incorrect?

Answer 7

Not really :/

Answer 8

Alright. Look.
The sum of the measures of the angles about a vertex is 2y + the sum of two interior angles of the triangle. y = (360°- 240°) ÷ 2.
The sum of the measures of the angles about a vertex = 360 since a vertex has 360º.
is = equal sign (=)
2y = Two interior angles of the hexagon
+ = plus sign (+)
the sum of two interior angles of the triangle. = 2(60) because there are 60º in one interior angle.
2y + 120 = 360
2y = (360 - 120)
y = (360 - 120) ÷ 2
See? The mathematical statements just don't match up.

Answer 9

Oh! Is it B then?

Answer 10

No...notice how D has the exact same wording as A, but has a different mathematical statement...it is the exact same as I have ^, so it's D.

Answer 11

Oh! I get it...I've just been doing this so long
I have one last question but it involves making a two-column proof :/
I know you hate them but do you think you can help?

Answer 12

WXYZ is an inscribed quadrilateral whose diagonals intersect at K. Segment WX is parallel to segment ZY, as shown below.



Prove that if angle ZYW is 30° and angle ZWY is 20°, then angle WZX is 100°. Write a two-column proof showing statements and reasons.

Answer 13

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_Seg_Two_Exam_68/image0044e9db950.jpg

Answer 14

THere are so many ways to go about doing this...also, it's not that I don't like proofs, but it's just that I hate it when people ask you to write an entire proof for them...

Answer 15

Okay sorry...
would I start off like this?
Statement Reason
ZYW=30 degrees Given
ZWy=20 degrees

Answer 16

Yes. That's how you'd start off.

Answer 17

Notice alternate interior angles. What can you do with those?

Answer 18

I have no idea...I wasn't really taught proofs, postulates, and theorems correctly :/ that's why I always need help on them

Answer 19

Alright...I need to go now...sorry...trying to finish as much work as I can before school starts. Can you ask someone else to help you? Also, memorize these theorems! If you are planning on being on math team next year, although you'll be in the algebra II division, if you happen to go to States with us, you're going to have to know how to do Geometry to a moderate level at the very least.

Answer 20

Okie dokes...thanks anyways

Answer 21

Alright. Sorry I can't help you more...