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.

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): You can put this solution on YOUR website!
x, the measure of the vertex angle

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Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
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.

Answer. The vertex angle is of 76 degrees.

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See the lesson
    - Solved problems on angles of a triangle
in this site.

You will find there many samples of similar solved problems.

Also, you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part of this online textbook under the topic "Finding angles of triangles, parallelograms and rectangles".

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Be aware:   the solution by @josgatithmetic is W R O N G.

Simply ignore it . . .

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