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28 March, 05:19

Calculate the number of degrees of one exterior and one interior angle of a regular 34-gon

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  1. 28 March, 07:35
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    One interior angle would have a measure of 169.4° and one exterior angle would have a measure of 10.6°.

    We first find the sum of the angles of the 34-gon. This is done using the formula

    (n-2) (180), where n is the number of sides:

    (34-2) (180) = 32 (180) = 5760

    Now we divide this by 34, since there are 34 congruent angles in the shape:

    5760/34 = 169.4

    The measure of an exterior and interior angle together will make 180°, so the exterior angle is found by

    180-169.4 = 10.6°
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