A quadrilateral has two angles that measure 235° and 44°. The other two angles are in a ratio of 11:16. What are the measures of those two angles?

Answer 1

We can reason algebraically here. A quadrilateral has 360 degrees. We are told that that one of the angles is 235 degrees, another is 44 degrees, and the other two are in the ratio 11: 16. We can represent the two unknown angles algebraically as : 11a and 16a. Then we can use the property of quadrilaterals that the sum of the angles is 360. We now have an algebraic equation:

235 + 44 + 11a + 16a = 360

Combining terms

279 + 27a = 360

Solving for "a"

27a = 360 - 235 = 81 or a =3

This results in missing angles of 33 and 48.