Question

Find the value of gamma Y.

https://assets.questioncove.com/attachments/1539276026-5bbf7cee34cad7b894f3e600-G-CO.C.9Q4.jpg

A. 30 degrees

B. 52.5 degrees

C. 37.5 degrees

D. 105 degrees

Answer 1

@563blackghost

Answer 2

You see that 2 lines are shown to be parallel, with 2 transversals inbetween. You are also shown that 2 sides are equal saying that the shape above the parallel lines is an isosceles triangle.

Putting everything together you can follow by `Corresponding angles` meaning...



Now follow by `definition of a straight angle`. You would `subtract 180 from 105` so you can identify an angle within the triangle.

\(\bf{180-105=}\)

Answer 3

75

Answer 4

Correct so you have...



Now remember that I stated that `since two sides are marked as equal this means that there are two equal angles as well`. So the opposite angle from it is `75` as well.



Now you can identify `gamma y` by finding a missing angle of a triangle. So you would `add the two angles with each other and subtract from 180.`

\(\bf{180-(75+75)=}\)

Answer 5

30

Answer 6

Rosa is proving this theorem:

Angles supplementary to the same angle are congruent.

https://learning.k12.com/content/enforced/437405-COF_ID125380/G-CO.C.9%20Q1.JPG?_&d2lSessionVal=vDnqwSCq23TQNVK7vk36DJ8z5

Given: <1 and <3 are supplementary.
<2 and <3 are supplementary.

Prove: ∠1≅∠2

The table shows the statements and reasons for Rosa’s proof, but they are out of order.

https://learning.k12.com/content/enforced/437405-COF_ID125380/G-CO.C.9%20Q1.1.JPG?_&d2lSessionVal=vDnqwSCq23TQNVK7vk36DJ8z5

What is the correct order for these statements and reasons?

A. 3, 1, 5, 2, 4


B. 3, 5, 1, 2, 4


C. 3, 5, 2, 1, 4


D. 3, 1, 5, 4, 2

Answer 7

What do you think the answer is?

Answer 8

C

Answer 9

Not quite. You should already be able to identify that the given comes first so `3`.

Next knowing that the angles are supplementary this would mean that they would add to equal to 180, so with that said what would be the next step?

Answer 10

oh A

Answer 11

Yup correct cx

Answer 12

Why does the perpendicular bisector of a segment construction work? Which theorem, postulate, or definition is used?

https://learning.k12.com/content/enforced/437405-COF_ID125380/G-CO.C.9%20Q2.JPG?_&d2lSessionVal=vDnqwSCq23TQNVK7vk36DJ8z5

A. There is exactly one line that is going through a given point and perpendicular to a given line.


B. Isosceles Triangle Definition


C. Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.


D. If a point is equidistant from the endpoints of a segment, then it's sitting on the perpendicular bisector of the segment.