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Problem 451

Geometry Difficulty 2.2 Multiple choice CEMC Gauss (Grade 8) · Canada · 2022

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

Figure 0

The value of xx is

Pick one

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Official solution

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

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