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, 2020

Geometry Difficulty 2.2 Junior Find the answer Canada

In the diagram, $WXY$ is a straight angle.

What is the average (mean) of $p$ , $q$ , $r$ , $s$ , and $t$ ?

$30$
$36$
$60$
$72$
$45$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since $WXY$ is a straight angle, then $p^\circ + q^\circ + r^\circ + s^\circ + t^\circ = 180^\circ$ and so $p+q+r+s+t = 180$ .
To calculate the average of $p$ , $q$ , $r$ , $s$ , and $t$ , we add the five numbers and divide by 5.
Therefore, the average of $p$ , $q$ , $r$ , $s$ , and $t$ is $\dfrac{p+q+r+s+t}{5} = \dfrac{180}{5} = 36$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.