2001 CEMC Gauss (Grade 8) Problems/Problem 16
Problem
In the diagram, the value of is
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Solution 1
To make the solution easier to understand, we can name different points.
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Since all of the sides of triangle are equal, the triangle is equilateral. Thus, all of its angles are
in measure.
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We can also notice that triangle is isosceles, with
. Thus, we can let
.
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The sum of the interior angles of a triangle is always , so we have:
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We can now see that is a straight line. Thus, we have:
~anabel.disher
2001 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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CEMC Gauss (Grade 8) |