Question

if two lines intersect each other and one angle of vertically opposite angles pair is 125°then what will be measurement of another angle ?​

Answer 1

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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