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

7min

Consider the adjacent figure.

Easy

2min

Which of the following is NOT possible?

Easy

< 1min

Consider the adjacent figure (not to scale).

Easy

4min

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