One pair of opposite angles of a kite measures 100◦ and 120◦. Find the measure of other two angles.

Question

One pair of opposite angles of a kite measures 100◦ and 120◦. Find the measure of other two angles.

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Vivian 2 weeks 2021-09-10T19:22:36+00:00 2 Answers 0 views 0

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    0
    2021-09-10T19:23:48+00:00

    Answer:Suppose given rhombus is ABCD , with each side = 10 cm, smaller diagonal is BD & longer diagonal is AC , with point of intersection O.


    TO FIND: AC = ?


    < A = 60°


    => triangle ABD is an equilateral triangle. as AB = AD hence base angles will be equal. & each will be of 60°


    Hence smaller diagonal BD = 10 cm => BO = 10/2 = 5 cm


    As, diagonals of a rhombus, bisect each other at right angles.


    => tri AOB is a right triangle with hypotenuse AB.


    AB² = BO² + AO²


    => 10² = 5² + AO²


    => AO = √(100 – 25)


    => AO = √75 = 5√3 cm


    => 2AO = 10√3 cm


    => AC = 10√3 cm

    0
    2021-09-10T19:24:06+00:00

    Step-by-step explanation:

    hope it will help you a lot…… plz feel free to ask any further….

    and plz mark as Brainliest

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