Question

A quadrilateral has two angles that measure 121° and 185º. The other two angles are in aratio of 10:17. What are the measures of those two angles?o andSubmitx IX Practice in the app

Answer 1

Given that:

The ratio of 10: 17 means

`(10x)/(17x)=(10)/(17)`

Since the sum of angles in a quadrilateral is 360

=> 121 + 185 + 10x + 17x = 360

=> 27x = 360 - 121 - 185 = 54

=> x = 54/27 = 2

Therefore, 10×2 = 20, and 17×2 =34

Hence, the measures of those two angles are 20 and 34 degrees.