Geometry

Hong Kong

Stage 1 - Stage 3

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

Easy

Approx 8 minutes

Consider the adjacent figure.

Which of the following is NOT possible?

Consider the adjacent figure (not to scale).

Sign up to access Practice Questions

Get full access to our content with a Mathspace account