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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ii.
Special Properties, SMB-026
A pentagon is pictured below, where one internal angle is a right angle.
What is the value of
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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-029
A regular nonagon is pictured below.
What is the value of
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Special Properties, SMB-028
A regular hexagon is pictured below.
What is the value of
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Special Properties, SMB-027
A regular pentagon is pictured below.
What is the value of
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Special Properties, SMB-023
A pentagon is drawn below.
What is the value of
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Special Properties, SMB-021
A five sided polygon is drawn below.
What is the value of
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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)
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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| 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.