Find missing angles when two or more polygons are joined
Find missing angles when two or more polygons are joined
These resources will be removed by end of Summer Term 2025.
Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
Lesson details
Key learning points
- In this lesson, we will apply regular polygon knowledge to find missing angles when two or more polygons are joined together.
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.
Loading...
4 Questions
Q1.
The sum of interior angles of a polygon is 720º. How many sides does the polygon have?
5
7
8
Q2.
The sum of interior angles of a polygon is 2880º. How many sides does the polygon have?
15
16
17
Q3.
The sum of interior angles of a regular polygon is 3960º. What is the size of each interior angle of the regular polygon?
150º
170º
175º
Q4.
The sum of interior angles of a regular polygon is 5040º. What is the size of each exterior angle of the regular polygon?
100.8º
168º
79.2º
4 Questions
Q1.
The diagram shows two hexagons joined. Calculate the size of the angle marked b.
144º
60º
90º
Q2.
A regular pentagon and a regular hexagon are joined. Calculate the size of angle a.
105º
117º
144º
Q3.
An octagon and a nonagon are joined. Calculate the size of the angle labelled g.
105º
117º
75º
Q4.
Calculate the size of the angle marked.
15º
18º
27º