Each exterior angle of a regular decagon has a measure of (3x+6) what is the value of x

Question

Each exterior angle of a regular decagon has a measure of (3x+6) what is the value of x

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Amaya 2 days 2021-10-13T02:02:47+00:00 2 Answers 0

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    0
    2021-10-13T02:04:21+00:00

    Answer: 10

    Step-by-step explanation:

    We know that a regular decagon has 10 sides.

    The sum of all exterior angles of any regular polygon is 360^{\circ}.

    Given: Each exterior angle of a regular decagon has a measure of (3x+6).

    Then the sum of all the exterior angle will be :-

    10\times(3x+6)=360\\\\\Rightarrow\ 30x+60=360\\\\\Rightarrow 30x=300\\\\\Rightarrow x=\dfrac{300}{30}=10

    Hence, the value of x = 10

    0
    2021-10-13T02:04:32+00:00

    First——//360/10=36. Each exterior angle is 36 degrees
    3x+6=36
    Subtract 6 from both sides
    3x=30
    X=10

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