2011 CEMC Gauss (Grade 8) Problems/Problem 3

Problem

In the diagram, the value of $y$ is

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$\text{ (A) }\ 60 \qquad\text{ (B) }\ 100\qquad\text{ (C) }\ 120\qquad\text{ (D) }\ 180\qquad\text{ (E) }\ 270$

One entire revolution is $360^{\circ}$ . As suggested by the diagram, the given part of the angle is a right angle. This means that we have:

$y^{\circ} + 90^{\circ} = 360^{\circ}$

Solving for y gives:

$y = \boxed {\textbf {(E) } 270}$

~anabel.disher

2011 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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CEMC Gauss (Grade 8)