Track / Stage 1 / 100 of 240 #100 of 2444

Problem 100

Geometry Difficulty 1.3 Multiple choice CEMC Gauss (Grade 8) · Canada · 2024

In the diagram, $\angle ABC$
is a straight angle.

The value of $x$ is

Pick one

Official solution

Since the measure of a straight angle is 180 $\degree$ , then $\$40\degree + x\degree + x\degree = 180\degree\$.$

Solving this equation, we get $40+x+x=180$ or $2x=140$ , and so $x=70$ .

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