if two lines intersect each other and one angle of vertically opposite angles pair is 125 then what will be measurement of another angle?
Answers
Answer:
the another vertical opposite angle will be of 125 and the rest two angles will be of 55 and 55 and these both will be vertically opposite
Given :- If two lines intersect each other and one angle of vertically opposite angles pair is 125° then what will be measurement of another angle ?
Solution :-
from image , we have ,
- Line AB and CD intersect at O .
- ∠AOC = ∠BOD = 125° (given)
since , AB is a straight line .
so,
→ ∠AOC + ∠BOC = 180° (Linear pair angles.)
then,
→ 125° + ∠BOC = 180°
→ ∠BOC = 180° - 125°
→ ∠BOC = 55° .
therefore,
→ ∠BOC = ∠AOD (vertically opposite angles.)
→ ∠AOD = 55° .
Hence, the measurement of another pair of vertically opposite angles is 55° .
Learn more :-
In ABC, AD is angle bisector,
angle BAC = 111 and AB+BD=AC find the value of angle ACB=?
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