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Angle sum for a polygon Draw any quadr...

Angle sum for a polygon
Draw any quadrilateral ABCD.
Mark a point P in its interior.
Join the segments PA, PB, PC and PD
You have 4 triangles now.
How much is the sum of all the angles of the 4 triangles ?
How much is the sum of the angles at P ?
Can you now find the 'angle sum' of the quadrilateral ABCD ?
Can you extend this idea to any polygon ?

Answer

Step by step text solution for Angle sum for a polygon Draw any quadrilateral ABCD. Mark a point P in its interior. Join the segments PA, PB, PC and PD You have 4 triangles now. How much is the sum of all the angles of the 4 triangles ? How much is the sum of the angles at P ? Can you now find the 'angle sum' of the quadrilateral ABCD ? Can you extend this idea to any polygon ? by MATHS experts to help you in doubts & scoring excellent marks in Class 9 exams.

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Knowledge Check

  • The exterior angle of a triangle is equal to the sum of two

    A
    Exterior angles
    B
    Interior opposite angles
    C
    Alternate angles
    D
    Interior angles

  • The exterior angle of a triangle is equal to the sum of two

    A
    Exterior angles
    B
    Interior opposite angles
    C
    Alternate angles
    D
    Interior angles

  • If the angles of a triangle are in A.P., then the measure of one of the angles in radians is

    A
    `(pi)/(6)`
    B
    `(pi)/(3)`
    C
    `(pi)/(2)`
    D
    `(2pi)/(3)`

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