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
Answer:
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