Two angles of a quadrilateral measure 40° and 100°. The other two angles are in a ratio of 7:15. What are the measures of those two angles?

70 degrees and 150 degrees.

Step-by-step explanation:

Angles in a quadrilateral always sum to 360 degrees. So, 40+100+7x+15x=360. Solving, 140+22x=360, 22x=220, or x=10. Since the other two angles are 7x and 15x, 7 (10) = 70 degrees and 15 (10) = 150 degrees.