Question

Prove that vertically opposite angles are equal to each other in measure

Answer 1

as we know that vertically opposite angles are equal to each other so vertically opposite angles are equal to each other

Answer 2

Answer:

Draw a intersecting line name the mid point P and A , B , C and D .

Solution →

$< 2 + < 3 = 180$

( linear pair of angle ) ... i

$< 3 + < 4 = 180$

( linear pair of angle ) ... ii

$< 4 + < 1 = 180$

( linear pair of angle ). ... iii

$< 2 = < 4$

( from i and ii )

$< 3 = < 1$

( from ii and iii )

vertically opposite angles are equal .

Hence , Proved .