Question

Two angles of a quadrilateral measure 244º and 48º. The other
two angles are in a ratio of 4:13. What are the measures of those
two angles?

Answer 1

Answer:

16° and 52°

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360.

360 - 244 - 48 = 68

68 is the sum of the two angles that are in a ratio of 4:13

So, let 4x = measure of one of the angles

and 13x = measure of the other angle

Then 4x + 13x = 68

17x = 68

x = 4

4x = 16  and 13x = 52

Therefore, the measures of the two angles are 16 and 52

Check:  16 + 52 + 244 + 48 = 360  and 16:52 = 4:13