z degree y degree x degree.find a, if x = 3a , y = 5x and z = 6x.​

Question

z degree y degree x degree.find a, if x = 3a , y = 5x and z = 6x.​

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Josie 1 month 2021-08-16T17:13:22+00:00 2 Answers 0 views 0

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    0
    2021-08-16T17:14:23+00:00

    Step-by-step explanation:

    Given \: x = 3a —(1) \\y = 5x\:—(2)\\z = 6x\:—(3)

    2x+2y+2z = 360

    \* Sum of the angles around the point *\

    2(x+y+z) = 360

    \implies x + y + z = 180\degree

    \implies 3a+5x+6x = 180

    [ From (1), (2) and (3) ]

    \implies 3a + 11x = 180

    \implies 3a + 11\times 3a = 180\: [ From (1) ]

    \implies 3a + 33a = 180

    \implies 36a = 180

    \implies a = \frac{180}{36}

    \implies a = 5

    Therefore.,

    value of a =5

    pls Mark me as brainliesttttt…

    0
    2021-08-16T17:14:46+00:00

    ☆《 ANSWER IS HERE 》☆

    <><><><><><><><><><><><>

    y=60 degree (Alternate interior angles)

    z =55 degree (Alternate interior angles )

    x +60 +55=180 degree (Angle sum property)

    x+115=180

    x=180-115

    x=65 degree

    HOPE IT HELPS YOU

    BRAINLIEST ANSWER..

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