Question

in figure ABCDE,find,<1 +<2 +<3+ <4 +<5​

Answer 1

Step-by-step explanation:

In △ABE,

⇒ ∠A+∠ABE+∠AEB=180

o

---- ( 1 )

In △BDE,

⇒ ∠DBE+∠BDE+∠BED=180

o

----- ( 2 )

In △BCD,

⇒ ∠CBD+∠C+∠CDB=180

o

---- ( 3 )

Adding equation ( 1 ), ( 2 ) and ( 3 )

⇒ ∠A+∠ABE+∠AEB+∠DBE+∠BDE+∠BED+∠CBD+∠C+∠CDB=180

o

+180

o

+180

o

⇒ ∠A+∠B+∠C+∠D+∠E=540

o