8. Two angles of a quadrilateral are (3x – 4)” and two are (3x + 10)”. Find all four angles of a quadrilateral.(Ans: 83, 83*, 97″, 97″)

Question

8. Two angles of a quadrilateral are (3x – 4)” and two are (3x + 10)”. Find all four angles of a
quadrilateral.(Ans: 83, 83*, 97″, 97″)

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Remi 4 weeks 2021-08-23T01:02:18+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-23T01:03:24+00:00

    GIVEN:

    • Two angles of a quadrilateral are (3x – 4)” and two are (3x + 10)”.

    TO FIND:

    • Find all the Four angles of a Quadrilateral .

    CONCEPT USED:

    • The adjacent angles of the Parallelogram is equal to 180°.

    • Opposite sides and angles of Parallelogram are equal.

    Now,

    —–>. (3x-4)° + (3x + 10)° = 180°

    ——> 3x – 4 + 3x + 10 = 180°

    ——–> 6x + 6 = 180°

    ———> 6x = 174°

    ———> x = 174/6

    ———-> x = 29°.

    Putting the value of x.

    > (3x + 10)° = 87 + 10 = 97°

    (3x + 10)° = 87 + 10 = 97°——–> (3x – 4)° = 87 – 4 = 83°.

    Hence, The Four angles of Quadrilateral are 83°, 97° ,83° and 97°.

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