Question

In the figure, find angle1+ angle2+ angle3+ angle4+ angle5​

Answer 1

Step-by-step explanation:

In △ABE,

⇒  ∠A+∠ABE+∠AEB=180o      ---- ( 1 )

In △BDE,

⇒  ∠DBE+∠BDE+∠BED=180o      ----- ( 2 )

In △BCD,

⇒  ∠CBD+∠C+∠CDB=180o           ---- ( 3 )

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

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

⇒  ∠A+∠B+∠C+∠D+∠E=540o