SOLUTION: The 3rd angle in an isolsoles triangle is 8 degrees less than twice the measure of the equal angle. Find the measure of one of the equal angle. Thanks for your help

Algebra ->  Triangles -> SOLUTION: The 3rd angle in an isolsoles triangle is 8 degrees less than twice the measure of the equal angle. Find the measure of one of the equal angle. Thanks for your help      Log On


   

Question 107906: The 3rd angle in an isolsoles triangle is 8 degrees less than twice the measure of the equal angle. Find the measure of one of the equal angle.
Thanks for your help
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The 3rd angle in an isosoles triangle is 8 degrees less than twice the measure of the equal angle. Find the measure of one of the equal angle.
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Let x = the measure of one of the equal angles
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It says,"The 3rd angle is 8 degrees less than twice the measure of the equal angle." therefore
(2x - 8) = 3rd angle
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The three angles = 180
x + x + (2x-8) = 180
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4x - 8 = 180
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4x = 180 + 8
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x = 188/4
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x = 47 degrees is the measure of one of the equal angles
;
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Check solution, 3rd angle = 2(47) - 8 = 86 degrees:
47 + 47 + 86 = 180