SOLUTION: The measure of the largest angle of a triangle is 90 degrees more than the measure of the smallest angle, and the measure of the remaining angle is 30 degrees more than the measure

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Question 350624: The measure of the largest angle of a triangle is 90 degrees more than the measure of the smallest angle, and the measure of the remaining angle is 30 degrees more than the measure of the smallest angle. Find the degree measure of each angle.
Thank you for your time and help.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: the sum of the angles of a triangle is 180 degrees.
Let x be the smallest angle, then (x+90) and (x+30) are the other two.
.
x +(x+90) + (x+30)= 180
.
simplify and solve
3x +120 = 180
3x = 60
x = 20
.
50 = (x+30)
110 =(x+90)
20 degrees, 50 degrees, 110 degrees are the angles
.
check your answer
20 +50 110 = 180