Two angles of a quadrilateral measure 228 and 94. The other two angles are in a ratio of 3:16. what are the measures of those two angles?

Answer 1

Here's another simple solution.

228+94=322

360-322=38

the other two angles must sum to 38

these angles are in a ratio of 3:16

3+16=19

38/19=2

2*3=6° and 2*16=32°

Answer 2

call the angles x and y

The sum of the 2 given angles is 322. The sum of all 4 must be 360, so the sum of x and y is 360 = 322 = 38

x + y = 38 <------equation 1

From the given ratio we have x/y = 3/16

we can then write x = 3y/16. substitute for x in equation 1 to get:

3y/16 + y = 38

3y + 16y = 608

19y = 608

y = 32

and therefore x = 6