Question

In the adjacent figure, the lines ‘l’ and ‘m’ are parallel and ‘n’ is a transversal. Fill in the blanks for all the situations given below-
(i) If ∠1 = 800 then ∠2 = ______________
(ii) If ∠3 = 450 then ∠7 = ______________
(iii) If ∠2 = 900 then ∠8 = ______________
(iv) If ∠4 = 1000 then ∠8 = ______________

Answer 1

first of all.... 800 not 80 degrees..and 45degrees 90 degrees and 100 degrees. should be there..
so 1)100
2)45
3)90
4)100...
if ypu want the reasons comment

Answer 2

Solution :

It is given that ,

l//m , n is a transversal .

i ) if <1 = 80° then <2 = 100°

[ Since <1 + <2 = 180° Linear pair ]

ii ) If <3 = 45° then <7 = 45°

[ Since , Alternate angles ]

iii ) If <2 = 90° then <8 = 90°

[ <2 , <8 are vertically opposite angles ]

iv ) If <4 = 100° then <8 = 100°

[ Alternate exterior angles ]

••••