Question

https://pacyber-li.brainhoney.com/Resource/30843632,0/Assets/46UI7DVSGPNDF2J8/4.5g1.PNG

https://pacyber-li.brainhoney.com/Resource/30843632,0/Assets/46UI7DVSGPNDF2J8/4.5g3.PNG

@sleepyjess

Answer 1

Okay, do you need help on all of the question?

Answer 2

*questions
dumb school computers :P

Answer 3

Lol yeah I don't know how to find the angles

Answer 4

Okay, so for the first one, we know that angles MKJ and MKL are congruent, and we know that lines KJ and KL are congruent. That means that angles MJK and MLK are congruent.

Answer 5

Do you know how many degrees are in the angles of a triangle?

Answer 6

180

Answer 7

Yes, so if we have 58 and 58, how would we find the missing angle if all 3 have to add up to 180?

Answer 8

add the 58's and subtract the sum from 180

Answer 9

Yes! What does that come out to?

Answer 10

so <JKL= 64?

Answer 11

Exactly!

Answer 12

okay and what about <J

Answer 13

For the second one, can we assume that line KM makes a right angle?

Answer 14

i don't think we're allowed to unless it's given that line KM makes a right angle

Answer 15

Okay, we'll do this a different way then....

Answer 16

Okay, we're going to be using the entire triangle again

Answer 17

If JKM is 48, what is the angle of LKM?

Answer 18

48

Answer 19

Yes! So now we need to add 48 and 48 to find the angle of JKL.
P.S. it's 96 :P

Answer 20

Now what do you think we do?

Answer 21

subtract 96 from 180

Answer 22

Yes! That gives us angles KJM and KLM, and we know that they're congruent, so how do we find KJM?

Answer 23

divide 84 by 2?

Answer 24

Correct!

Answer 25

so <J is 42?

Answer 26

Yep :)

Answer 27

okay, now the 2nd one really has me confused

Answer 28

Now for the second picture

Answer 29

Let's break it down.
What do those double lines mean on each side?

Answer 30

they're congruent

Answer 31

Yes, all 3 sides are congruent, and what is the value of angles in equilateral triangles?

Answer 32

60

Answer 33

Yes, now we get a little more complicated... What can we conclude knowing that part of angle C is 30? What would the angle inside of the smaller triangle be if the entire angle adds up to 60?

Answer 34

30

Answer 35

Yes, and we know that the 2 lines in the smaller triangle going from C to A are congruent, so that means