in the Adjoining figure determine angle DEA + Angle EAB + Angle ABC + Angle BCD + Angle CDE.
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in the Adjoining figure determine angle DEA + Angle EAB + Angle ABC + Angle BCD + Angle CDE.
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Here, sum of all the interior angles = ∠DEA + ∠EAB + ∠ABC + ∠BCD + ∠CDE
The figure in this is a pentagon with 5 number of sides.
FORMULA FOR FINDING THE SUM OF A n-sided POLYGON -
( n-2 ) × 180°
Substituting the values.
Here, n = 5
∴ Sum of all the interior angles of a pentagon is -
( 5-2 ) × 180°
= 3 × 180 °
= 540°
Ans - ∠DEA + ∠EAB + ∠ABC + ∠BCD + ∠CDE = 540°