funnygirl16
funnygirl16
11-06-2018
Mathematics
contestada
If m <NKJ =5x+19 and m<4=x, what is m<4?
Respuesta :
Louli
Louli
20-06-2018
I added a screenshot with the heading of the question along with its image
Answer:
m∠4 = 23°
Explanation:
1- getting the value of x:
We know that KM bisects ∠NKL, this means that:
∠3 = ∠4 = x
Now, we know that ∠NKJ, ∠3 and ∠4 form
a straight angle
.
This means that their summation is 180°
We can now get the value of x as follows:
180 = ∠NKJ + ∠3 + ∠4
180 = 5x + 19 + x + x
180 = 7x + 19
180 - 19 = 7x
161 = 7x
x = 23
2- getting ∠4:
From part 1, we got that x = 23
We are given that:
∠4 = x
This means that:
∠4 = 23°
Hope this helps :)
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