Two angles of a quadrilateral measure 253° and 74°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?

15 and 18 degrees.

Step-by-step explanation:

The total measure of the 2 angles =   327 degrees.

As there are 2 angles and 360 degrees in a  quadrilateral  the other 2 angles

add up to 360 - 27 = 33 degrees.

If they are in the ratio 5:6 their measure is:

33 * 5/(5 + 6) = 33 * 5/11  =  3*5 = 15 degrees and

33 * 6/11 = 3*6 = 18 degrees.