Question

help. if your good at geometry

Answer 1

I have a few minutes before I need to log out so please hurry if you'd like me to teach. Thank you.

Answer 2

the question is to find the values of x and y

Answer 3

OK so first do you understand the significance of the two lines with arrows?

Answer 4

nope

Answer 5

They indicate that those two lines are parallel.

Answer 6

oh yea i remember now

Answer 7

Your diagram, the way it is drawn, gives the illusion that they are not parallel; however the arrows says that they are. Alright now do yo know the significance of the diamond on the top where the two triangles intersect?

Answer 8

yea right angle

Answer 9

Correct! Now what do you know about opposite angles (AKA vertically opposite angles)

Answer 10

it is 90 degrees just like the right angle

Answer 11

True! Thus the two opposite angles inside the triangles where they intersect are lso equal, correct? Understand?

Answer 12

yea but how do I find x and y i understand everything else

Answer 13

We're getting there. Patience is virtue. So what would each of those opposite angles inside where the triangles intersect be?

Answer 14

lol alright and idk

Answer 15

Well consider the straight line from y to the 30 degree angle. That line is intersected by the other line at a right angle. the other angle is inside the triangle. So considering the the measure in a straight angle, if a line has been divided by a right angle the the other angle must be what? Hint: two supplementary angles form a right angle.

Answer 16

the other side has to be 90 degrees

Answer 17

Right! Hence the two opposite angles where the triangles intersect are right angles. Thus we have two right triangles. Now observe the triangle on the right. We have two angles of 90 and 30 degrees. Therefore the third angle there is?

Answer 18

60 so therefore y=60 and x=30?

Answer 19

or do i have it backwards?

Answer 20

NO! However you are right in that the third angle is 60 degrees.

Answer 21

oh

Answer 22

Yes you have it backwards but do you know why?

Answer 23

no

Answer 24

The two parallel lines (lines with one arrow each) are intersected by two other lines (transversal lines). Thus they form, in this particular case, the Z-pattern (the two angles formed by the Z are called alternate angles). Alternate angles are equal. Do you see now??

Answer 25

oh yaa!! thanks

Answer 26

Perfect! Goodbye and good luck with future study!

Answer 27

thanks!

Answer 28

Welcome anytime!

Answer 29

do u have anymore time?

Answer 30

I just logged in again but only for 5 minutes or so so what do you need?