In the diagram,
- Show that the size of
is 108°. (1 mark)
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- Find the size of
. Give reasons for your answer. (2 marks)
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Show Worked Solution
| i. |  |
ii.
Special Properties, SMB-030
A regular decagon is pictured below.
- What is the value of
? (2 marks)
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- What is the size of an internal angle of a decagon? (2 marks)
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Special Properties, SMB-018
Special Properties, SMB-017
Special Properties, SMB-016
Two identical quadrilaterals fit together to make this regular pentagon.
What is the value of
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Special Properties, SMB-015
Special Properties, SMB-014
The sum of the interior angles of a 6 sided polygon can be found by first dividing it into triangles from one vertex.
What is the sum of the interior angles of this polygon? (2 marks)
Special Properties, SMB-008
The sum of the internal angles of a polygon can be calculated by drawing triangles from any given vertex as shown below.
What is the size of the angle marked
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Special Properties, SMB-006
Eloise makes a sketch of the playground at her school.
What is the size of angle
Plane Geometry, 2UA 2011 HSC 6a
The diagram shows a regular pentagon
- Find the size of
. (1 mark)
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- Hence, show that
is isosceles. (2 marks)
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Show Worked Solution
| i. |  |
MARKER’S COMMENT: Very few students solved part (i) efficiently. Remember the general formula for the sum of internal angles equals (# sides – 2) x 90°.
ii.