Question 211837: One angle of a triangle is 3 less than twice another. The other is 4X the sum of the small angle and 2. What are the angle measurements??
Found 3 solutions by RAY100, tutor_paul, MathTherapy:
Answer by RAY100(1637)   (Show Source):
Answer by tutor_paul(519)  (Show Source):
Answer by MathTherapy(10555)  (Show Source):
You can put this solution on YOUR website! One angle of a triangle is 3 less than twice another. The other is 4X the sum of the small angle and 2. What are the angle measurements??
Let the smallest angle be S
Since the middle angle is 3 less than twice the smallest, then middle angle = 2S - 3
Since the largest angle is 4 times the sum of the smallest angle, and 2, then largest angle = 4(S + 2), or 4S + 8
Since the angles of a triangle are supplementary, it follows that:
S + 2S - 3 + 4S + 8 = 180
7S + 5 = 180
7S = 175
 = 25
Middle angle = 47 ------> [2(25) - 3]
Largest angle = 108 -----> [4(25 + 2)]
Therefore, the smallest, middle, and largest angles are:  , respectively.
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