NZ Level 5
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Interior and Exterior Angles of Polygons

Interactive practice questions

Consider the pentagon below:

a

What is the interior angle sum of a pentagon?

b

Find an expression for the interior angle sum of the pentagon involving the exterior angles $v$v, $w$w, $x$x, $y$y and $z$z

c

Hence solve for the sum of the exterior angles of the pentagon. That is, solve for the value of $v+w+x+y+z$v+w+x+y+z.

d

Is the sum of exterior angles of any polygon equal to 360°?

Yes

A

No

B

Yes

A

No

B
Easy
Approx 8 minutes
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Consider the adjacent figure.

Which of the following is NOT possible?

Consider the adjacent figure (not to scale).

Outcomes

GM5-5

Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties

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