SOLUTION: One angle of a triangle is 82°.The Other two angles are in the ratio 2 : 5. Find the number of degrees in the smallest angles of the triangle.

Algebra ->  Triangles -> SOLUTION: One angle of a triangle is 82°.The Other two angles are in the ratio 2 : 5. Find the number of degrees in the smallest angles of the triangle.       Log On


   

Question 241320: One angle of a triangle is 82°.The Other two angles are in the ratio 2 : 5. Find the number of degrees in the smallest angles of the triangle.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
180-82=98 degrees is the sum of the 2 remaining angles.
2+5=7
98/7=14 degrees per unit in the ratio.
2*14=28
5*14=70
28+70=98
Proofs:
82+28+70=180
180=180
2:5=28:70
140=140