## tell all the formulas for understanding quadrilaterals 1.How to find the diagnoals in a polygon 2.If

Question

tell all the formulas for understanding quadrilaterals

1.How to find the diagnoals in a polygon

2.If exterior angle is given to find the sides

3.If interior angle is given to find the sides

4.important points to remember when we are going for a text Lol XD I have exams coming up

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1 month 2021-08-06T07:37:05+00:00 1 Answers 0 views 0

To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n – 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

Each exterior angle of regular polygon of n sides is given by

n

360

o

According to question

n

360

o

=72

o

⇒n=

72

360

,n=5

∴Number of sides =5

Each interior angle of regular polygon of n sides is given by

n

180(n−2)

o

According to question,

n

180(n−2)

o

=135

0

⇒180(n−2)=135n

⇒180n−360=135n

⇒45n=360

⇒n=8

∴Number of sides =8