Question

KLM is an inscribed quadrilateral whose diagonals intersect at G. Segment JK is parallel to segment ML, as shown below.

http://assets.openstudy.com/updates/attachments/4fd60d9ae4b04bec7f170e54-jennyfer-1339428273605-532465118201124321pm1942982455.jpg

Prove that if angle LKM is 85° and angle KML is 25°, then angle KLJ is 45°. Write a two column proof showing statements and reasons.

Answer 1

BTW a two column proof is in this EXAMPLE format:
statements reasons
3x-9=0 given
3x=9 addition postulate
x=3 division postulate

Answer 2

@HELP!!!!

Answer 3

@MrDoe

Answer 4

so it looks like you need to do this in a few steps,

1) use the fact that the angles of a triangle add up to 180 degrees to find angle KLM

From here you just need to keep using the known values for the sum of interior angles, there's even a couple ways you could go about it. For example you could use the trapezoid KLMJ to find sone of the angles as well.

It's really just a puzzle, just use the triangles/trapezoids angle sums as proof and plug away until you have all the angles you need.

Answer 5

ok im just really confused at putting this together and im doing my online final and proofs are not my strongest!:(

Answer 6

as long as you use established rules for geometry you should be fine, but ill admit thats a good puzzle, good luck :)

Answer 7

@satellite73 please help on proofs!

Answer 8

@blondie16

Answer 9

i have so far:
statements reasons
<klm + <lkm + <lmk =180 sum of angle of triangle
<mkj=25 alternate angles
<ljk=<lmk=25


i dont know how t continue...

Answer 10

<ljk=<lmk=25 <- angles in the same segment