One angle of a triangle measures 35°. The other two angles are in a ratio of 12:17. What are the measures of those two angles?

Answer 1

A = 35

B/C = 12/17

B = 12C/17

A+B + C = 180 every triangle's 3 angles sum to 180

B+C = 180-35 = 145

12C/17 + C = 145

12C + 17C = 145(17)

29C = 2465

C = 2465/29 =85 degrees

B = 12C/17 = 12(85)/17 = 60 degrees

the triangle has angles 35, 60 and 85 degrees, which sum to 180