math
posted by Anonymous on .
one angle of triangle measures 110 degrees the other two angles are in a ratio of 5:9 what are the measures of those tow agnels

A , B and C = The angles of a triangle
A = 110 °
The angles of a triangle always sum to 180 °
A + B + C = 180 °
110 ° + B + C = 180 °
B + C = 180 °  110 °
B + C = 70 °
B / C = 5 / 9 Multiply both sides by C
B = 5 C / 9
B + C = 70 °
5 C / 9 + C = 70 °
5 C / 9 + 9 C / 9 = 70 °
14 C / 9 = 70 ° Multiply both sides by 9
14 C = 70 ° * 9
14 C = 630 ° Divide both sides by 14
C = 630 ° / 14
C = 45 °
B = 5 C / 9
B = 5 * 45 ° / 9
B = 225 ° / 9
B = 25 °