Question

Two angles of a quadrilateral measure 240° and 85°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answer 1

An Quadrilateral shape has 4 angles = The sum of interior angles is 360.

Sum of unknown angles = 360 - 240 - 85 = 35

Let U be 1 unit in the ratio.

2u+5u=35
7u=35
u=35/7=5

U=5


1st angle ( 2 U ) = 5 x 2 = 10 degrees

2nd angle ( 5 U ) = 5 x 5 = 25 degrees


Hopes this helps!