Maths Olympiad Prep

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, 2022

Geometry Difficulty 2.2 Junior Find the answer Canada

In the diagram, $ABC=90°$.\$\angle ABC=90\degree\$.

The value of xx is

Pick one

Solution

Since ABC\angle ABC measures
90°90\degree, and ABC=44°+x°\angle ABC=44\degree+x\degree, then x=9044=46x=90-44=46.

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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.