Math, asked by gouri367, 11 months ago

in the given five sided closed figure find angle EAB + angle ABC+ angle BCD + angle CDE + angleDEA​

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Answers

Answered by JohnSam123K
32

Answer:

The above sum of angles is the total sum of angles in the Pentagon

The sum of angles in a Pentagon is given by (5-2)×180°

Sum of angles is 540

angle EAB + angle ABC + angle BCD + angle CDE + angle DEA = 540

Answered by ChiKesselman
24

The sum of angles is 540 degrees.

Step-by-step explanation:

We are given the following in the question:

A pentagon is given in the attached image.

We have to find the value of

\angle EAB + \angle ABC+ \angle BCD + \angle CDE + \angle DEA

That is we have to find the value of sum of five angles of pentagon:

Angle sum property of a polygon:

Sum of angle =

(n-2)180^\circ, where n is the number of sides of the polygon.

For pentagon, n  = 5

Putting the values, we get:

\angle EAB + \angle ABC+ \angle BCD + \angle CDE + \angle DEA\\= (5-2)\times 180\\= 540^\circ

The sum of angles is 540 degrees.

#Learnmore

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