Two angles of a quadrilateral measure 300° and 5°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?

Answer 1

sum of all 4 = 360

sum of given 2 = 305

other 2 sum to 360-305=55

c/d =5/6 =c/(55-c)

6c=5(55-c)

11c= 275

c=275/11= 25 degrees

d=55-25= 30 degrees