Angles in Parallel Lines and Angles In Polygons Review

This lesson’s work is a recap of last lessons angles in parallel lines and the angles in Polygons

work you completed before half term. I have included all of the examples from both lessons

in this document and added some extra examples too. You should also watch again the

PowerPoint emailed to you at the beginning of the week. For further support you should

revisit videos 163 and 282 on mathswatch and videos 25 and 32 on corbettmaths.com

Your task is then to complete the quiz on angles in parallel lines and the quiz on angles in

polygons. Work each answer out but you only need to upload your final solution of A,B,C or

D onto class charts to be checked.

Laws you need to know

Co-interior angles sum to 180°

Examples

𝑥 is 30° because it is a corresponding angle to the angle shown and corresponding angles are

equal. If we consider our pair of parallel lines, the corresponding angles are in the same

position between the intersecting line and the parallel line they are on (here both top left).

𝑦 is 55° because it is a co-interior angle to the 125° angle and co-interior angles add up to 180.

We can identify co-interior angles by considering our intersecting line connecting two parallel

lines, and consider going along our parallel lines in the same direction at each end. The two

angles enclosed in a c shape are co-interior.

Calculate the value of angle y.

Here angle N is 112° as it is the co-interior angle to the 68° angle shown. Angle y is also 68°

as it is vertically opposite to angle N.

Multiple Choice Quiz

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Angles in Polygons

Tesselations

Tesselations is where shapes can fit together with no overlaps or spaces. In

order to fit together without any overlaps or spaces, each point where the

polygons meet must fit around a point. Therefore the angles around that point

must add to 360 degrees to ensure no gaps or overlaps.

Why do the three regular polygons above tessellate?

Regular triangles have angles of 60 degrees and so 6 of these angles make 360

degrees and so fit around a point.

Squares have angles of 90 degrees and so four fit exactly around a point

Regular Hexagons have angles of 120 degrees and so three of these divides

exactly into 360 and so can fit around a point with no spaces or overlaps.

Polygons Quiz

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