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

Answers ( )

    0
    2021-08-06T07:38:11+00:00

    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

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