Two angles of a quadrilateral measure 100° and 145°. The other two angles are in a ratio of 4:19. What are the measures of those two angles?

Answer 1

all 4 angles sum to 360

if 2 angles are 100+145, the other 2 angles sum to 360-245 = 115

115 is divided in a ratio of 4:19

one angle is 4/23 of 115

the other is 19/23 of 115

4/23 x 115 = 20 degrees

19/23 x 115 = 95 degrees