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    4 angles of a pentagon are 70°, 110°, 135° and 95°. Find the measure of the fifth angle of the pentagon.
    Question

    4 angles of a pentagon are 70°, 110°, 135° and 95°. Find the measure of the fifth angle of the pentagon.

    A.

    134°

    B.

    128°

    C.

    130°

    D.

    132°

    Correct option is C

    Given:

    4 angles of a pentagon are 70°, 110°, 135° and 95°.

    Formula Used:

    Sum of all angle  = 180°(n2)\degree(n-2)

    n = number of sides

    Solution:

    Number of side in pentagon = 5

    Sum of angle of pentagon = 180°(n2)\degree(n-2)= 180°×3=540°\degree\times3= 540\degree

    Sum of four angles = 70°+110°+135° + 95° =410°\degree 

    So fifth angle = 540°410°=130°540\degree -410\degree=130\degree​​

    °\degree

    ​​

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