SOLUTION: Determine the measure (in degrees) of the third angle in an isosceles triangle, if the third angle is 10 more than one-half of either of the equal measure angles. i know that

Algebra ->  Angles -> SOLUTION: Determine the measure (in degrees) of the third angle in an isosceles triangle, if the third angle is 10 more than one-half of either of the equal measure angles. i know that      Log On


   

Question 363740: Determine the measure (in degrees) of the third angle in an isosceles triangle, if the third angle is 10 more than one-half of either of the equal measure angles.

i know that the isosceles triangle has two angles that are the same degree but i have no clue how to evn start this problem
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the measure (in degrees) of the third angle in an isosceles triangle, if the third angle is 10 more than one-half of either of the equal measure angles.
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Let each of the equal angles be "x":
3rd angle is (1/2)x+10.
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Equation:
sum of angles = 180
x + x + (1/2)x + 10 = 180
(5/2)x = 170
x = (2/5)170
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x = 2*34
x = 68 degrees
3rd angle: (1/2)x+10 = (1/2)68+10 = 44 degrees.
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Cheers,
Stan H.
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