SOLUTION: The measure of each of the base angles of an isosceles triangle is 24 degrees less than the measure of the vertex angle. Find the measure of the vertex angle.
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Question 1093916: The measure of each of the base angles of an isosceles triangle is 24 degrees less than the measure of the vertex angle. Find the measure of the vertex angle. Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39620) (Show Source):
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The measure of each of the base angles of an isosceles triangle is 24 degrees less than the measure of the vertex angle.
Find the measure of the vertex angle.
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Let x be the measure of the vertex angle in degrees.
Then the measure of each base angle is (x-24) degrees.
Your equation is
x + (x-24) + (x-24) = 180,
3x - 48 = 180 ====> 3x = 180 + 48 ====> x = 76 degrees.
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