A quadrilateral has two angles that measure 85° and 230°. The other two angles are in a ratio of 4:5. What are the measures of those two angles?

Answer 1

A ratio of 4:5 means you could think of the angles as 4x and 5x and you can use Algebra to determine what the "x" is.

Since the angles in a quadrilateral add to 360° then:

85 + 230 + 4x + 5x = 360

315 + 9x = 360

9x = 45

x = 5

So, one angle is 4•5 or 20°

And the other angle is 5•5 or 25°