25 thoughts on “6B 20/05-Maths (Angles in polygons)

  1. 1a) Rosie’s shape is a hexagon.
    1b)Amir’s shape is a octagon.
    1c) It is 900°.
    2a)Y=150°
    2b)y=36°
    2c)y=75°
    2d)y=48°
    2e)y=62°
    2f)y=27°
    Challenge
    Dora’s polygon sums to 900°.
    Tommy’s polygon sums to 720°.
    Alex’s polygon sums to 540°.

  2. Bronze:
    A=180
    B=180
    180+180=360
    2)Quadrilateral-4-2-180×2-360.
    2b)Pentagon-5-3-180×3-540.
    2c)Hexagon-6-4-180×4=720.
    2d)Heptagon-7-5-180×5=900.
    2e)octagon-8-6-180×6=1080
    3b)sides=6, triangles=4, 180×4=720.
    3c)sides=9, 7 triangles, 180×7=1260.
    silver:
    nonagon-9-7-1260
    decagon-10-8-1440
    2b)There are 10 triangles 10 x 180 is 1800.
    2c)Hexagon.
    2d)Octagon.
    2e)Heptagon=720.
    Gold:
    It is a Hexagon
    1b)Its a Octagon
    1c)Its a Heptagon and the sum interior is 720.

  3. What is a regular polygon?
    A polygon is regular when all angles are equal and all sides are equal

    Mrs Ahmed’s Math group:
    ________

    What do the interior angles of triangle A add up to?
    It adds up to 180°

    What do the interior angles of the triangle B add up to?
    It adds up to 180°

    What is the sum of angle in a quadrilateral?
    The sum is 360°
    _______

    Pentagon – 5 – 3 – 180 × 3 – 540°
    __

    Hexagon – 6 – 4 – 180 × 4 = 720°
    __

    Heptagon – 7 – 5 – 180 × 5 = 900°

    What do you notice?

    That the number of triangles is going in order, and you have to times the number of triangles to 180.

    _______________________________

    1)

    B) Number of sides = 6
    Number of triangles = 4
    4 × 180 = 720°
    The sum of the interior angle of a hexagon is 720°
    _____

    C) Number of sides = 7
    Number of triangles = 5
    5 × 180 = 900°
    The sum of the interior angles of a heptagon is 900°
    ____
    What do you notice about the number of sides compared to the number of triangles?

    I’ve noticed that the number of sides is going in order like 5,6,7 etc..
    and the number of triangles is going in order to!
    __

    By Khadijah

    • Well you haven’t even had a go.

      You didn’t try yesterday, you haven’t done your English today either.

      You are capable of answering these questions but actually need to read the blogs, watch the videos and then complete the challenge.

  4. 4)Rosie, Amir and Eva are drawing polygons.
    a) What polygon has Rosie drawn?
    Rosie has drawn a hexagon.

    b)What polygon has Amir drawn?
    Amir has drawn an octagon.

    c)What is the sum of the interior angles of Eva’s polygon?
    The sum of interior angles is 900°.

    5)Each compound shape is made up of regular polygons.
    Work out angle y in each case.
    a) 720°÷6=120°
    90°+120°=210°
    360°-210°=150°
    90°+120°+150°=360°
    y=150°

    b)540°÷5=108°
    108°×3=324°
    360°-324°=36°
    108°+108°+108°+36°=360°
    y=36°

    c)1080°÷8=135°
    135°+60°+90°=285°
    360°-285°=75°
    135°+60°+90°+75°=360°
    y=75°

    d)540°÷5=108°
    108°-60°=48°
    y=48°

    e)540°÷5=108°
    180°-108°=72°
    72°÷2=36°
    108°-36°=72°
    y=72°

    f)540°÷5=108°
    1080°÷8=135°
    135°-108°=27°
    y=27°

    Challenge:
    Dora- Dora’s shape is a pentagon. The sum of its interior angles are 540°.
    Tommy- The shape is a hexagon. The sum of its interior angles are 720°.
    Alex- The shape is a pentagon. The sum of its interior angles are 540°.

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