5. Isosceles and Equilateral Triangles
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Consider the Triangle Sum Theorem to interpret the measure of the vertex angle.
never true
Let's consider the given statement.
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If the measures of the base angles of an isosceles triangle are integers, then the measure of its vertex angle is odd. |
By the Triangle Sum Theorem, we can find the measure of the vertex angle.
In this equation, m∠v=180-2b. If the base angles are integers, the value of 2b will be even. Since the difference of two even numbers is even, the measure of the vertex angle will also be an even number. Therefore, the given statement is never true.
More information about isosceles triangles can be found on the following pages.