Question

in the given questions about Ab = CD if / CDE =80 and /BED =40 find /ABE​

Answer 1

Step-by-step explanation:

here is Ur ans mates...hope it's helps u...thnx.

Answer 2

Answer:

Step-by-step explanation:

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 )

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

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

            ∠ ABE = 120°