Year 8
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Lesson details
Key learning points
- In this lesson, we will combine everything learnt so far about angles in polygons to compare how specific examples relate to generalised cases.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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5 Questions
Q1.
The mean interior angle of a quadrilateral is...
180 degrees
360 degrees
45 degrees
Q2.
The mean exterior angle of a pentagon is...
108 degrees
360 degrees
60 degrees
Q3.
If I have a regular polygon with an exterior angle of 5 degrees, how many sides does my polygon have?
36 sides
5 sides
50 sides
Q4.
A square would have both an interior and exterior angle of 90 degrees
False
Q5.
If I had a shape with 180 sides, what would the mean exterior angle be?
180 degrees
3 degrees
4 degrees
5 Questions
Q1.
The exterior angles of a hexagon sum to 540 degrees.
True
Q2.
A triangle ALWAYS has each exterior angle as 60 degrees.
True
Q3.
The general formula for working out the mean exterior angle of an n-sided polygon is...
180(n-2)
360
n/360
Q4.
The calculation to work out the sum of the interior angles for an octagon would be...
180 x n
360 x
360(8 - 2)
Q5.
180n - 360 is a generalisation that tells us the...
Sum of the angles around a point
Sum of the angles on a straight line
Sum of the total exterior angles of a polygon