Question

last math i hope

Answer 1

What do you think it is?

Answer 2

Opposite angles are congruent, consider angles MLP and MNP

Answer 3

ok?

Answer 4

MLP is sum of two angles, which ones?

Answer 5

wait mlp or nlp

Answer 6

\[m <MLP = m<MLN + m<NLP\]

Answer 7

And MLP is same as opposite angle, it makes and equation

Answer 8

You get a quadratic equation and solve for x

Answer 9

yeah im still lost

Answer 10

\[32 + x ^{2} = 12x\]

Answer 11

ok do i combine the x

Answer 12

Its a quadratic equation, you need to solve

Answer 13

\[x^2 -12x + 32 = 0\]

Answer 14

x=8 or x=4

Answer 15

?

Answer 16

Yes

Answer 17

wait which one

Answer 18

On of them to be ignored as the angle is acute

Answer 19

wait what lol

Answer 20

Angle MNP, it is 12x

Answer 21

should be less than 90 deg

Answer 22

ok

Answer 23

so we havr to find the angle of NLP

Answer 24

Its after you decide with x

Answer 25

Ignore x=8 as 12*8=96>90

Answer 26

So x = 4 is correct one

Answer 27

thats what i thought

Answer 28

as just about to say that

Answer 29

Angle NLP is x^2

Answer 30

4^2 = 16

Answer 31

do i just put the number or do i have to put the x=16

Answer 32

nvm

Answer 33

I had to leave sorry. 16 is the answer. x is 4 to help you find the answer