Question

Abcde is a regular pentagon. find the relation between a b and c

Answer 1

Hi ....here is your answer..
In ΔBDE, ∠b + ∠c + ∠x = 180° [Angle sum property of triangle] →(1)
Also each angle of a regular pentagon is 108°
Hence ∠a + ∠x = 108°
⇒ ∠x = 108° – ∠a
∴ Equation (1) becomes,
∠b + ∠c + 108° – ∠a  = 180°
⇒ ∠b + ∠c – ∠a  = 180° – 108° = 72°

Answer 2

Answer:

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