in figure n-x = 3 then values of X and n are????
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Answered by
62
Answer:
Step-by-step explanation:
n + x + 150 = 360 ( sum of angles around a point is 360)
n + x = 210. (1)
n -x = 3. (2)
Solve equation () and (2(
Adding the two equation we get
2n = 213
n = 213/2 = 106.5
n - x =3
106.5 - x =3
x = 106.5 -3
x = 103.5
n = 109.5
Answered by
4
Given:
n-x=3
To find:
The values of x and n
Solution:
The required values of x and n are 103.5° and 106.5°.
We have the angles n, x, and 150° forming a complete angle.
So, adding these angles will be equal to 360°.
150°+n+x=360°
n+x=360°-150°
n+x=210° (1)
Now, we are given that n-x=3 (2)
Adding (1) and (2),
n+x+n-x=210+3
2n=213°
n=213°/2
n=106.5°
Using n=106.5° in (1), we get
n+x=210°
106.5°+x=210°
x=210°-106.5°
x=103.5°
Therefore, the required measure of x and n are 103.5° and 106.5°.
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