In fig., n-x= 4 then values of x and n are: (a) 103 (b) 54° (c) 104 (d) none of these?
Answers
Answer:
Please refer the attachment
Step-by-step explanation:
the answer will be :
x = 103 °
n= 107 °
。◕‿◕。
Given :- In given figure(refer to image) n - x = 4°.
To Find :- then values of x and n are ?
Concept used :-
- A complete angle is equal to 360° .
Solution :-
from image we can see that,
→ 150° + n + x = 360° { complete angle }
→ n + x = 360° - 150°
→ n + x = 210° ------------- Equation (1)
and,
→ n - x = 4° { given } ---------- Equation (2)
adding Equation (1) and Equation (2) we get,
→ (n + x) + (n - x) = 210° + 4°
→ n + n + x - x = 214°
→ 2n = 214°
dividing both sides by 2,
→ n = 107°
putting value of n in Equation (2),
→ 107° - x = 4°
→ x = 107° - 4°
→ x = 103°
therefore, the values of x and n are 103° and 107° respectively .
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