Answer:
50° and 85°
Step-by-step explanation:
The sum of the 4 angles in a quadrilateral = 360°
the ratio of 2 angles = 10 : 17 = 10x : 17x ( x is a multiplier )
Sum the 4 angles and equate to 360
31 + 194 + 10x + 17x = 360 , that is
225 + 27x = 360 ( subtract 225 from both sides )
27x = 135 ( divide both sides by 27 )
x = 5
Then
10x = 10(5) = 50
17x = 17(5) = 85
The 2 angles measure 50° and 85°
