Maths Olympiad Prep

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, 2014

Geometry Difficulty 2.1 Junior Find the answer Canada

In the diagram, what is the value of xx?

Pick one

Solution

Since the sum of the angles in a triangle is 180180^\circ, then 50+x+45=18050^\circ + x^\circ + 45^\circ = 180^\circ or x+95=180x+95 = 180.

Therefore, x=85x = 85.

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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.