Given: KLMN is a trapezoid, KL = MN,

m∠1=m∠2,
LM/KN =8/9
PKLMN = 132
Find: The length of the legs.

The reason the answer is 32 is the answer is because m<1=m<2. Thus if you divide the trapezoid in half using the diagonals to do so, The two triangles would be isosceles. We know this because we can use the converse of base angle thereom. Since the two legs would be the base LM, and leg KL. So they must be equivalent to each other. Since LM is equal to 8x, we can substitute both legs of the trapezoid with 8x since we know all thre lengths are equivalent. This gives us an equation of:

8x+8x+8x+9x=132
33x=132
X=4
The sides with 8x are equal to 32 and the sides with 9x are equal to 36.

You're wrong, it is 32 but I don't know why

32 bois its researched and proven.

yup is 32 bruhs

yeah, the answer is 32

Dan is correct

u literally just posted an rsm question didnt u ._.

ANSWER = 32

ur welcome

the answer is 32 dumbos. i legit go to russian school of math and on their homework website it says 32 is correct. and russians are really good at math...u dont wanna mess with them when it comes to math.....grrrrrrr

Bestie Dan isnt wrong

angle KMN is not the same as angles 1 and/or 2
bc if you continue the parallel lines you can see that angle KMN cant use the parallel line theorem thing to be congruent to angle 1
But we do know that MN is equal to LK because its a trapezoid
so it is 8x+8x+8x+9x=132