Difference between revisions of "2011 CEMC Gauss (Grade 8) Problems/Problem 3"
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==Problem== | ==Problem== | ||
| − | In the diagram, the value of <math>y</math> is: | + | In the diagram, the value of <math>y</math> is |
| − | + | {{Template:Image needed}} | |
<math> \text{ (A) }\ 60 \qquad\text{ (B) }\ 100\qquad\text{ (C) }\ 120\qquad\text{ (D) }\ 180\qquad\text{ (E) }\ 270 </math> | <math> \text{ (A) }\ 60 \qquad\text{ (B) }\ 100\qquad\text{ (C) }\ 120\qquad\text{ (D) }\ 180\qquad\text{ (E) }\ 270 </math> | ||
==Solution== | ==Solution== | ||
| − | One entire revolution is <math>360^{\circ}</math>. As suggested by the diagram, the given part of the angle is | + | One entire revolution is <math>360^{\circ}</math>. As suggested by the diagram, the given part of the angle is a [[right angle]]. This means that we have: |
<math>y^{\circ} + 90^{\circ} = 360^{\circ}</math> | <math>y^{\circ} + 90^{\circ} = 360^{\circ}</math> | ||
Latest revision as of 12:18, 22 April 2025
Problem
In the diagram, the value of 
is
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
Solution
One entire revolution is 
. As suggested by the diagram, the given part of the angle is a right angle. This means that we have:
Solving for y gives:
~anabel.disher
