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

2 thoughts on “if two lines intersect each other and one angle of vertically opposite angles fear is 125 then what will be measurement of another”

1. Concept

   If two lines intersect each other, then the vertically opposite angles are equal.

   Proof :

   In the statement above, it is given that ‘two lines intersect each other’. So, let AB and CD be two lines intersecting at O as shown in Fig. 6.8. They lead to two pairs of vertically opposite angles, namely,

   Let’s do it

   (i) ∠ AOC and ∠ BOD (ii) ∠ AOD and ∠ BOC.

   We need to prove that ∠ AOC = ∠ BOD and ∠ AOD = ∠ BOC.

   Now, ray OA stands on line CD.

   Therefore, ∠ AOC + ∠ AOD = 180° (Linear pair axiom) ………..(1)

   Can we write ∠ AOD + ∠ BOD = 180°? (Linear pair axiom)……………(2)

   From (1) and (2), we can write

   ∠ AOC + ∠ AOD = ∠ AOD + ∠ BOD

   This implies that ∠ AOC = ∠ BOD

   Similarly, it can be proved that ∠AOD = ∠BOC

   And it’s done

   Thankyou 🙂

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2. Answer:

   Vertical opposite angles is made on straight line

   =180-125

   =55

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