Question

please help im really stuck on Triangle Angles and i give medals and fan

Answer 1

The figure shows two parallel lines AB and DE cut by the transversals AE and BD:

AB and DE are parallel lines, and AE and BD are transversals. The transversals intersect at C. Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle ACE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.

Which statement best explains the relationship between Triangle ABC and Triangle EDC ?

Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5
Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4

Answer 2

@DarrenMadx

Answer 3

Do you have a picture?

Answer 4

here, we have this:
angles 3 and 4 are congruent since they are vertical angles
angles 1 and 5 are congruent because they are interior alternate angles
angles 2 and 6 are congruent, since they are interior alternate angles

Answer 5

yeah

Answer 6

similar triangles have congruent interior angles

Answer 7

sorry for the color

Answer 8

its the second answer

Answer 9

can you help on one more?

Answer 10

sure thing

Answer 11

Two similar triangles are shown below:

Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The sides of the triangle on the right are marked as 3, 2 and 1.5. For the triangle on the left, the angle between sides marked 4 and 6 is labeled as w, marked by a double arc, and the angle between the sides marked 6 and 3 is labeled as x, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 3 and 1.5 is labeled as y and the angle between the sides marked 2 and 3 is labeled as v, marked by a double arc. The angle between the sides 2 and 1.5 is labeled as z, marked by a triple arc, and it is also the angle on the top vertex of this triangle.

Which two sets of angles are corresponding angles?

∠w and ∠v; ∠x and ∠y
∠w and ∠y; ∠x and ∠v
∠w and ∠z; ∠x and ∠v
∠w and ∠z; ∠x and ∠y

Answer 12

It would be c

Answer 13

the one with the angles thingy above.

Answer 14

It CANNOT be choice B, because angles 3 and 4 would be the same since they are right next to each other..

Answer 15

They are the exact same triangle just made larger (dilated) and flipped upside down. So the angles 3 and 4 and 1 and 5 are the same.

Answer 16

And for the second problem, it would be choice A, because if you look at the congruency marks on the triangles, w and v have the same amount of marks..

Answer 17

It is option b, since the two triangles have interior angles congruent neatly

Answer 18

thx

Answer 19

one more

Answer 20

The image shown has two triangles sharing a vertex:

There are two triangles labeled HJK and MLK with a common vertex K. In triangle HJK, angle JHK is labeled as y, and angle HJK is labeled as 65 degrees. In triangle MLK, angle MLK is labeled as 65 degrees.

What is the measure of ∠KML, and why?

Answer 21

picture?

Answer 22

missalycat would be right for the first one

Answer 23

What I know so far for this one is that m<y is also 65, which makes m<k 50

Answer 24

y over 2 , because Triangle JHK is congruent to triangle LMK
y + 50 degrees, because Triangle JHK is similar to triangle MLK
115 degrees - y, because Triangle JHK is congruent to triangle LMK
y, because Triangle JHK is similar to triangle LMK

Answer 25

answer choices lol

Answer 26

I am pretty sure it would be D.

Answer 27

Because if m<k for one triangle is 50, then that should mean it is for the other one..therefore, that would leave you with <KML being the same as y

Answer 28

thanks can you help me with this one as well?

Answer 29

I can try lol.

Answer 30

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠n + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected?

Answer 31

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 3; it should be m∠m + m∠n + m∠o = m∠o + m∠p
Step 2; it should be m∠o − m∠p = 90 degrees (complementary angles)

Answer 32

Picture? :3

Answer 33

oh right xD

Answer 34

Should be C because there are 180 total degrees in a triangle :P

Answer 35

oh xD