document.write( "Question 480043: what is the measure if the vertex angle of an isosceles right triangle when one of its base angles has a measure of 60 degree?
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Algebra.Com's Answer #328834 by Theo(13342) $\"\"$ $\"About$

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the base angles of an isosceles triangle are equal so the sum of the 2 base angles is equal to 120 degrees.
\n" ); document.write( "the sum of all 3 angles of a triangle is 180 degrees, so the third angle is 180 - 120 = 60 degrees.
\n" ); document.write( "in this case your isosceles triangle becomes an equilateral triangle.
\n" ); document.write( "all 3 sides are equal.
\n" ); document.write( "all 3 angles are equal.
\n" ); document.write( "because 2 sides and 2 angles are equal, it is an isosceles triangle.
\n" ); document.write( "because 3 sides and 3 angles are equal, it is an equilateral triangle.
\n" ); document.write( "the answer to your question, however, is simply that the vertex angle is 60 degrees if one of the base angles is 60 degrees for the reasons outlined above.\r
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