SOLUTION: Two angles of a quadrilateral are 45� and 85�. The other two angles are in the ratio 15 : 8. find the remaining two angles of the quadrilateral.

Question 1027205: Two angles of a quadrilateral are 45� and 85�. The other two angles are in the ratio 15 : 8. find the remaining two angles of the quadrilateral.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The sum of all the angles of a quadrilateral is 360.
Therefore the two unknown angles sum to 360 - 45 - 85 = 230 degrees.
If the two angles are in the ratio 15 to 8, we can say they are 15x to 8x.
Thus 15x + 8x = 230,
23x = 230
x = 10
and the angles are
150 and 80 degrees.
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