Question

hi guys can you please answer this question???

Answer 1

THE ANSWER OF THE 10TH QUES. IS=
140°

Answer 2

Answer:

120

Step-by-step explanation:

Here we extend line AB as that meet line DE at " X "  , so AX | | CD  ( as given AB | | CD and AB is part of AX )

∠ CDE  =  ∠  AXE  = 80°                                      --- ( 1 ) ( Corresponding Angles , AX | | CD and DE is transversal line and ∠ CDE  = 80°  is given )

Now from angle sum property of triangle we get in triangle BEX :

∠ BEX +  ∠ AXE  + ∠ XBE  = 180°  , Substitute values , As ∠ BED = ∠ BEX = 40° , same angles and from equation 1 we get

40°  + 80° +  ∠  XBE  = 180°

∠ XBE  = 60°                                                          --- ( 2 )

And

∠ XBE  +  ∠ ABE  = 180°                                      ( Linear pair angles )

60°  + ∠ ABE  = 180°                                              ( From equation 2 )

∠ ABE  = 120°                                                         ( Ans )