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.
Algebra ->
Test
-> 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.
Log On
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.
