SOLUTION: In a triangle, angle A is 60 percent of angle C, and angle B is 150 percent of angle A. How many degrees does the smallest angle of the triangle measure?

Question 694162: In a triangle, angle A is 60 percent of angle C, and angle B is 150 percent of angle A.
How many degrees does the smallest angle of the triangle measure?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a triangle, angle A is 60 percent of angle C, and angle B is 150 percent of angle A.
How many degrees does the smallest angle of the triangle measure?
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Let angle C be x degrees
Then angle A is 0.6x degrees
And angle B is 1.5(0.6x) = 0.9x degrees
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Equation:
x + 0.6x + 0.9x = 180 degrees
2.5x = 180 degrees
x = 72 degrees (measure of C)
0.6x = 43.2 degrees (measure of A)
0.9x = 64.8 degrees (measure of B)
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Cheers,
Stan H.
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Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
In a triangle the sum of angles is degrees.

if angle is percent of angle ,than
.....=>...

and if angle is percent of angle , than
....=>...=>...
so, plug it in
.....solve for

=>...

=>...

so, the smallest angle of the triangle measure

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