3 of 15 © What is the sum of the interior angles in this shape? The diagram is not drawn to scale. 180

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3 of 15
© What is the sum of the interior angles in this shape?
The diagram is not drawn to scale.
180

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Bella 2 months 2021-10-07T15:50:18+00:00 1 Answer 0 views 0

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    0
    2021-10-07T15:51:30+00:00

    Answer:

    see the explanation

    Step-by-step explanation:

    we know that

    The sum of the interior angles in any polygon is given by the formula

    S=(n-2)180^o

    where

    n is the number of sides

    so

    To find out the sum of the interior angles in given shape, substitute in the formula the number of sides of the figure  (n) to obtain S

    Examples

    1) The figure is a quadrilateral

    A quadrilateral has four sides

    so

    n=4

    substitute in the formula

    S=(4-2)180^o=360^o

    therefore

    The sum of the interior angles in a quadrilateral is 360 degrees

    2) The figure is a triangle

    A triangle has three sides

    so

    n=3

    substitute in the formula

    S=(3-2)180^o=180^o

    therefore

    The sum of the interior angles in a triangle is 180 degrees

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