Question

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?

Answer 1

70 degrees and 150 degrees.

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.