Saved Bookmarks
| 1. |
Prove vertically opposite angles |
|
Answer» Step-by-step explanation: 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, (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 ‼️ me as brainlist ‼️ |
|