Maths Olympiad Prep

Track / Stage 2 / 127 of 320 #447 of 2604

Problem 447

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

Next problem →

Official 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.

Figure for this problem

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