Can you solve for the angle X? | (Polygon) |

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  • Опубликовано: 29 окт 2024

Комментарии • 35

  • @k.amanda.m
    @k.amanda.m 2 дня назад +4

    Woww, after watch many your videos, my skill improves. And, i can answer it before you giv3 the solve. Thanks teacher☆

    • @PreMath
      @PreMath  2 дня назад +1

      I'm glad you're enjoying the videos and making progress! 😊
      You are very welcome!
      Thanks for the feedback ❤️

  • @yalchingedikgedik8007
    @yalchingedikgedik8007 День назад

    Thanks Sir
    Thanks PreMath
    We are learning more and more from your exercises.
    Good luck with glades
    ❤❤❤

  • @adamoksiuta4715
    @adamoksiuta4715 2 дня назад +3

    Connect two bottom apex of pentagon and you got quadrangle and triangle. From them you got: 2x+6x+5x+3x+180-7x=360; 9x=180/:9 ; x=20.

    • @phungpham1725
      @phungpham1725 2 дня назад +1

      I did it the same way😊

    • @jimlocke9320
      @jimlocke9320 День назад

      You are assuming that angle 7x is either acute or obtuse. We are told that the diagram may not be 100% true to the scale. We are not told that an angle being obtuse in the diagram means that it will be obtuse in the solution. Your solution is correct if 7x is obtuse. However, what if 7x is greater than 180° but less than 360°? When you connect the bottom apexes, the vertex of 7x will be below that line. If you don't make math errors, you will find the correct value of x.

  • @joeschmo622
    @joeschmo622 2 дня назад

    ✨Magic!✨

  • @sergeyvinns931
    @sergeyvinns931 2 дня назад +1

    RUSSIA! Сумма углов в треугольнике 180 градусов, в четырёхугольнике 360 градусов, в пятиугольнике 540 градусов, и т. д. Преобразуем пятиугольник в четырёхугольник, для этогосоединим прямой линией углы 2х и 3х,
    к полученной сумме углов добавим разницу 180-7х и приравняем это к 360 градусам:
    2х+6х+5х+3х+180-7х=360; 9х=180, откуда х=180/9=20 градусов.

  • @raya.pawley3563
    @raya.pawley3563 День назад

    Thank you

  • @quigonkenny
    @quigonkenny 2 дня назад +1

    The internal angles of a polygon sum to (n-2)180°, where n is the number of sides of the polygon. As this is a pentagon, the internal angles sum to (5-2)180° = 540°.
    2x + 6x + 5x + 3x + (360°-7x) = 540°
    16x + 360° - 7x = 540°
    9x = 540° - 360° = 180°
    x = 180°/9 = 20°

  • @santiagoarosam430
    @santiagoarosam430 2 дня назад +1

    3*180=(2+6+5+3)x+(360-7x)---> x=20º.
    Gracias y saludos.

  • @murdock5537
    @murdock5537 2 дня назад +1

    Nice! φ = 30° → 9x = 6φ → x = 2φ/3

  • @PrithwirajSen-nj6qq
    @PrithwirajSen-nj6qq 2 дня назад

    We may join vertices of angle 2x degrees
    and 3x degrees
    Then a quadrilateral will be formed.
    Then for this quadrilateral the sum of angles is
    6x +2x +3x +5x + 180 -7x = 360
    > 9x =360 -180=180
    > x =20
    Hence x = 20 degrees

  • @wackojacko3962
    @wackojacko3962 2 дня назад

    @ 1:33 All of my polygons have an infinite number of sides and I cannot tell the difference between any of em! This five sider made life a little easier for me today. 😊

  • @MrPaulc222
    @MrPaulc222 2 дня назад

    Angles inside a pentagon total 540deg (due to((5-2)*180).
    Angles in the shown pentagon are 16x + (360 - 7x), so 9x + 360 = 540
    9x = 180
    x = 20deg.

  • @michaeldoerr5810
    @michaeldoerr5810 2 дня назад +2

    The answer is x = 20 degrees and I shall use that to refresh my understanding of geometry!!!

  • @Birol731
    @Birol731 2 дня назад

    My way of solution is ▶
    The interior sum of the angles of a Polygon (Pentagon):
    n= 5
    s(A)= (5-2)*180
    s(A)= 540°
    s(A)= 6x+5x+3x+2x+(360°- 7x)
    540°= 16x-7x+360°
    180°= 9x
    x= 20°

  • @aljawad
    @aljawad 2 дня назад

    The sum of angles within a polygon is (# sides - 2)*180. So, for a five sided polygon that sum is: 540 (180*3), which should be equal to: 2x + 6x + 5x + 3x +(360-7x). Solving for x = 20.

  • @unknownidentity2846
    @unknownidentity2846 2 дня назад

    Let's find x:
    .
    ..
    ...
    ....
    .....
    The interior angle sum for a polygon with n corners is given by:
    (n − 2)*180°
    Here we have five corners and five interior angles:
    6x + 5x + 3x + (360° − 7x) + 2x = (5 − 2)*180°
    9x + 360° = 540°
    9x = 180°
    ⇒ x = 20°
    Best regards from Germany

  • @alster724
    @alster724 2 дня назад

    540= 360-7x+2x+3x+5x+6x
    540= 360+9x
    180= 9x
    20= x
    After seeing the 360-7x, the problem became a piece of cake

  • @nandisaand5287
    @nandisaand5287 2 дня назад

    I couldn't remember that angle formula for polygons, but I know 4 angles is 360, so I drew a line from the back of the 7x angle to the perpendicular of the top line (between 5x and 6x), giving 2 4-sided shapes, assigning A and B to the resultant interior angles, where (A+B=360-7x):
    A+90+6x+2x=360
    B+90+5x+3×=360
    Add both lines:
    (A+B)+180+16×=720
    Substitute:
    (360-7x)+180+16x=720
    -540 both sides
    9x=180
    ×=20

  • @marcgriselhubert3915
    @marcgriselhubert3915 2 дня назад

    Easy.

  • @giuseppemalaguti435
    @giuseppemalaguti435 2 дня назад

    2x+6x+5x+3x+(360-7x)=3*180=540...9x=180..x=20

  • @AmirgabYT2185
    @AmirgabYT2185 2 дня назад +1

    x=20°

  • @cyruschang1904
    @cyruschang1904 День назад

    2x + 6x + 5x + 3x + (180° - 7x) = 360°
    9x = 180°
    x = 20°

  • @prossvay8744
    @prossvay8744 2 дня назад

    2x+3x+5x+6x+360°-7x=540
    So x=20°.❤❤❤

  • @sergioaiex3966
    @sergioaiex3966 2 дня назад

    Solution:
    Interior Angle Sum (S)
    S = (n - 2) . 180°
    S = (5 - 2) . 180°
    S = (3) . 180°
    S = 540°
    2x + 360° - 7x + 3x + 5x + 6x = 540°
    9x + 360° = 540°
    9x = 540° - 360°
    9x = 180°
    x = 180°/9
    x = 20° ✅

  • @Dinhnguyen-km6zd
    @Dinhnguyen-km6zd 2 дня назад

    16X+ 180+(180-7x)=540=>x=20

  • @gelbkehlchen
    @gelbkehlchen День назад

    Solution:
    This pentagon can be divided into 3 triangles, so the sum of the angles in this pentagon is 3*180° = 540°. This means:
    2x+360°-7x+3x+5x+6x = 540° |-360° ⟹
    9x = 180° |/9 ⟹
    x = 20°

  • @LuisdeBritoCamacho
    @LuisdeBritoCamacho 2 дня назад +1

    STEP-BY-STEP RESOLUTION PROPOSAL :
    01) Sum of Interior Angles of a Polygon : AP = (N - 2) * 180º; where N = Number of Sides.
    02) Sum of a Pentagon Interior Angles = (5 - 2) * 180º = 3 * 180º = 540º
    03) 2X + 3X + 5X + 6X + (360º - 7X) = 540º
    04) 16X - 7X = 540º - 360º
    05) 9X = 180º
    06) X = 20º
    ANSWER :
    X equal 20º.

    • @PreMath
      @PreMath  2 дня назад +1

      Great job!👍
      Thanks for sharing ❤️🙏

  • @wasimahmad-t6c
    @wasimahmad-t6c 2 дня назад

    360÷18=20)(×=20

  • @jadex1058
    @jadex1058 2 дня назад

    UUHHH