SOLUTION: the measure of one of the equal angles in an isosceles triangle is 10 degrees larger than twice the smallest angle in the triangle. what are the degree measures of the three angles

Question 361758: the measure of one of the equal angles in an isosceles triangle is 10 degrees larger than twice the smallest angle in the triangle. what are the degree measures of the three angles?
Answer by HasanSahin(52) (Show Source): You can put this solution on YOUR website!
180 degree is the sum of the angles of a triangle.
let's say "y" is the smallest angle and "x" is the other 2 equal angles.
2y+10 = x
(=>> means therefore)
2x + y = 180 =>> (2y + 10)*2 + y = 180 >> 5y + 20 = 180 =>> 32 degree = y
Moreover, x = 2*32 + 10 = 74 degrees
Check >> 2x + y = 180 =>> 74*2 + 32 = 148 + 32 = 180 degree
Check >> 2y + 10 = x =>> 2*32 +10 = 74!
x = 74,y = 32
Everything is OK then :)

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