Question

Find the value of La + b + c + d +Le in the figure shown below
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Answer 1

your question is incomplete

Answer 2

Answer:

where is figure

Step-by-step explanation:

ANSWER

We know that each interior angle of a regular polygon is given by 180

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−

n

360

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, n= number of sides

Here for pentagon, Each interior angle=180

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−

5

360

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=108

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From figure in ΔABE−

A=108

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And, ∠ABE=∠AEB since AB=AE

⟹∠ABE+∠AEB+∠A=180

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⟹∠ABE+∠AEB+108

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=180

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⟹∠ABE=∠AEB=36

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Hence,a=36

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Similarly from ΔBCD−

∠CBD=∠CDB=36

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Now ∠CBA=∠ABE+∠EBD+∠CBD

⟹108

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=36

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+∠EBD+36

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⟹∠EBD=b=36

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Now in ΔBCD−

∠CDE=∠CDB+c

⟹108

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=36

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+c

⟹c=72

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Hence c=2a=2b where b=36

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