SOLUTION: the second angle in a triangle is one-third as large as the first. the third angle is two-thirds as large as the first angle. find the measures

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Question 1151396: the second angle in a triangle is one-third as large as the first. the third angle is two-thirds as large as the first angle. find the measures
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Let A = first angle
Let B = second angle
let C = third angle
the second angle in a triangle is one-third as large as the first.
the third angle is two-thirds as large as the first angle.
find the measures
They are the three angles of a triangle, so their sum is 180°.



Substitute for B and C



Multiply through ever term by 3















It's a 30°-60°-90° right triangle

Edwin
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