SOLUTION: the size of the smallest angle of a triangle is 30% of the size of the largest angle.the size of the third angle is 20 degrees more than the smallest angle. Fund the size of each a

Question 156724: the size of the smallest angle of a triangle is 30% of the size of the largest angle.the size of the third angle is 20 degrees more than the smallest angle. Fund the size of each angle.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the size of the smallest angle of a triangle is 30% of the size of the largest angle.the size of the third angle is 20 degrees more than the smallest angle. Fund the size of each angle.
.
Let x = largest angle
then from:"smallest angle of a triangle is 30% of the size of the largest angle"
.30x = smallest angle
and from:"20 degrees more than the smallest angle"
.30x+20 = 3rd angle
.
You're also suppose to know that the sum of the three interior angles of any triangle is 180:
x + .30x + .30x+20 = 180
1.6x + 20 = 180
1.6x = 160
x = 160/1.6
x = 100 deg (largest angle)
.
smallest angle:
.30x = .30(100) = 30 deg
.
third angle:
.30x+20 = .30(100) + 20 = 50 deg

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