A triangle has an angle that measures 35°. The other two angles are in a ratio of 13:16. What are the measures of those two angles?

Answer 1

the other 2 angles sum to 180-35= 145 degrees

13/(16+13)=13/29

13/29x145=65 degrees

16/29x145 = 80 degrees

80+65 = 145

65/80 = 13(5)/16(5) = 13/16

80+65+35=180

all triangles' 3 angles sum to 180 degrees