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05-04-2019
Mathematics

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What is the measure of the vertex angle of an isosceles triangle if one of its base angles 54

What is the measure of the vertex angle of an isosceles triangle if one of its base angles 54 class=

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05-04-2019

In an isosceles triangle, the two angles at the base are the same. So, the base angles are both 54°, for a total of 108.

Since the interior angles of a triangle sum up to 180°, the remaining angle must be

[tex]180-54-54=180-108=72[/tex]

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