Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Thanks!​

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Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Thanks!​

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Thu Nguyệt 3 years 2021-07-31T14:41:10+00:00 1 Answers 175 views 0

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    1
    2021-07-31T14:43:06+00:00

    Given:

    The three exterior angles of a pentagon measures 60,80 and 90.

    To find:

    The measure of other two exterior angle, assuming them equally.

    Solution:

    Let x be the measure of two other exterior angles of the pentagon.

    We know that the sum of all exterior angles of a pentagon is 360 degrees.

    60^\circ+80^\circ+90^\circ+x+x=360^\circ

    230^\circ+2x=360^\circ

    2x=360^\circ-230^\circ

    2x=130^\circ

    Divide both sides by 2.

    \dfrac{2x}{2}=\dfrac{130^\circ}{2}

    x=65^\circ

    Therefore, the measures of both exterior angles are 65 degrees.

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